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Finding the Third Proportional to 61,469 and 91,861

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Solution

The third proportional to 61,469 and 91,861 is: 137,279.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,469 : 91,861 = 91,861 : x
  2. Step 2: Convert to fraction form
    61,469/91,861 = 91,861/x
  3. Step 3: Cross multiply
    61,469x = 91,861 × 91,861
  4. Step 4: Simplify right side
    61,469x = 8,438,443,321
  5. Step 5: Solve for x
    x = 8,438,443,321/61,469
  6. Step 6: Final answer
    x = 137,279.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.