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Finding the Third Proportional to 402,940 and 547,559

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Solution

The third proportional to 402,940 and 547,559 is: 744,083.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,940 : 547,559 = 547,559 : x
  2. Step 2: Convert to fraction form
    402,940/547,559 = 547,559/x
  3. Step 3: Cross multiply
    402,940x = 547,559 × 547,559
  4. Step 4: Simplify right side
    402,940x = 299,820,858,481
  5. Step 5: Solve for x
    x = 299,820,858,481/402,940
  6. Step 6: Final answer
    x = 744,083.14

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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.