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Finding the Third Proportional to 436,472 and 656,331

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Solution

The third proportional to 436,472 and 656,331 is: 986,937.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,472 : 656,331 = 656,331 : x
  2. Step 2: Convert to fraction form
    436,472/656,331 = 656,331/x
  3. Step 3: Cross multiply
    436,472x = 656,331 × 656,331
  4. Step 4: Simplify right side
    436,472x = 430,770,381,561
  5. Step 5: Solve for x
    x = 430,770,381,561/436,472
  6. Step 6: Final answer
    x = 986,937.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.