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Finding the Third Proportional to 395,917 and 537,902

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Solution

The third proportional to 395,917 and 537,902 is: 730,806.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,917 : 537,902 = 537,902 : x
  2. Step 2: Convert to fraction form
    395,917/537,902 = 537,902/x
  3. Step 3: Cross multiply
    395,917x = 537,902 × 537,902
  4. Step 4: Simplify right side
    395,917x = 289,338,561,604
  5. Step 5: Solve for x
    x = 289,338,561,604/395,917
  6. Step 6: Final answer
    x = 730,806.11

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.