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Finding the Third Proportional to 390,010,234,942 and 790,986,669,572

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Solution

The third proportional to 390,010,234,942 and 790,986,669,572 is: 1,604,214,083,083.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,010,234,942 : 790,986,669,572 = 790,986,669,572 : x
  2. Step 2: Convert to fraction form
    390,010,234,942/790,986,669,572 = 790,986,669,572/x
  3. Step 3: Cross multiply
    390,010,234,942x = 790,986,669,572 × 790,986,669,572
  4. Step 4: Simplify right side
    390,010,234,942x = 625,659,911,440,604,296,380,416
  5. Step 5: Solve for x
    x = 625,659,911,440,604,296,380,416/390,010,234,942
  6. Step 6: Final answer
    x = 1,604,214,083,083.35

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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.