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Finding the Third Proportional to 437,715 and 656,568

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Solution

The third proportional to 437,715 and 656,568 is: 984,845.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,715 : 656,568 = 656,568 : x
  2. Step 2: Convert to fraction form
    437,715/656,568 = 656,568/x
  3. Step 3: Cross multiply
    437,715x = 656,568 × 656,568
  4. Step 4: Simplify right side
    437,715x = 431,081,538,624
  5. Step 5: Solve for x
    x = 431,081,538,624/437,715
  6. Step 6: Final answer
    x = 984,845.25

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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.