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Finding the Third Proportional to 42,757.50 and 93,561

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Solution

The third proportional to 42,757.50 and 93,561 is: 204,728.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,757.50 : 93,561 = 93,561 : x
  2. Step 2: Convert to fraction form
    42,757.50/93,561 = 93,561/x
  3. Step 3: Cross multiply
    42,757.50x = 93,561 × 93,561
  4. Step 4: Simplify right side
    42,757.50x = 8,753,660,721
  5. Step 5: Solve for x
    x = 8,753,660,721/42,757.50
  6. Step 6: Final answer
    x = 204,728.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.