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Finding the Third Proportional to 399,737 and 815,531

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Solution

The third proportional to 399,737 and 815,531 is: 1,663,820.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,737 : 815,531 = 815,531 : x
  2. Step 2: Convert to fraction form
    399,737/815,531 = 815,531/x
  3. Step 3: Cross multiply
    399,737x = 815,531 × 815,531
  4. Step 4: Simplify right side
    399,737x = 665,090,811,961
  5. Step 5: Solve for x
    x = 665,090,811,961/399,737
  6. Step 6: Final answer
    x = 1,663,820.99

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.