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Finding the Third Proportional to 390,010,227,950.82 and 790,986,656,737.12

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Solution

The third proportional to 390,010,227,950.82 and 790,986,656,737.12 is: 1,604,214,059,778.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,010,227,950.82 : 790,986,656,737.12 = 790,986,656,737.12 : x
  2. Step 2: Convert to fraction form
    390,010,227,950.82/790,986,656,737.12 = 790,986,656,737.12/x
  3. Step 3: Cross multiply
    390,010,227,950.82x = 790,986,656,737.12 × 790,986,656,737.12
  4. Step 4: Simplify right side
    390,010,227,950.82x = 625,659,891,136,166,537,199,616
  5. Step 5: Solve for x
    x = 625,659,891,136,166,537,199,616/390,010,227,950.82
  6. Step 6: Final answer
    x = 1,604,214,059,778.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.