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Finding the Third Proportional to 437,717 and 656,571

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Solution

The third proportional to 437,717 and 656,571 is: 984,849.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,717 : 656,571 = 656,571 : x
  2. Step 2: Convert to fraction form
    437,717/656,571 = 656,571/x
  3. Step 3: Cross multiply
    437,717x = 656,571 × 656,571
  4. Step 4: Simplify right side
    437,717x = 431,085,478,041
  5. Step 5: Solve for x
    x = 431,085,478,041/437,717
  6. Step 6: Final answer
    x = 984,849.75

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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.