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Finding the Third Proportional to 508,494 and 690,598

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Solution

The third proportional to 508,494 and 690,598 is: 937,917.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,494 : 690,598 = 690,598 : x
  2. Step 2: Convert to fraction form
    508,494/690,598 = 690,598/x
  3. Step 3: Cross multiply
    508,494x = 690,598 × 690,598
  4. Step 4: Simplify right side
    508,494x = 476,925,597,604
  5. Step 5: Solve for x
    x = 476,925,597,604/508,494
  6. Step 6: Final answer
    x = 937,917.85

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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.