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Finding the Third Proportional to 399,026 and 853,396

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Solution

The third proportional to 399,026 and 853,396 is: 1,825,156.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,026 : 853,396 = 853,396 : x
  2. Step 2: Convert to fraction form
    399,026/853,396 = 853,396/x
  3. Step 3: Cross multiply
    399,026x = 853,396 × 853,396
  4. Step 4: Simplify right side
    399,026x = 728,284,732,816
  5. Step 5: Solve for x
    x = 728,284,732,816/399,026
  6. Step 6: Final answer
    x = 1,825,156.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.