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Finding the Third Proportional to 61,713 and 87,372

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Solution

The third proportional to 61,713 and 87,372 is: 123,699.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,713 : 87,372 = 87,372 : x
  2. Step 2: Convert to fraction form
    61,713/87,372 = 87,372/x
  3. Step 3: Cross multiply
    61,713x = 87,372 × 87,372
  4. Step 4: Simplify right side
    61,713x = 7,633,866,384
  5. Step 5: Solve for x
    x = 7,633,866,384/61,713
  6. Step 6: Final answer
    x = 123,699.49

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.