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Finding the Third Proportional to 60.33 and 87.68

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Solution

The third proportional to 60.33 and 87.68 is: 127.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.33 : 87.68 = 87.68 : x
  2. Step 2: Convert to fraction form
    60.33/87.68 = 87.68/x
  3. Step 3: Cross multiply
    60.33x = 87.68 × 87.68
  4. Step 4: Simplify right side
    60.33x = 7,687.73
  5. Step 5: Solve for x
    x = 7,687.73/60.33
  6. Step 6: Final answer
    x = 127.43

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.