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Finding the Third Proportional to 66.92 and 92.55

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Solution

The third proportional to 66.92 and 92.55 is: 127.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.92 : 92.55 = 92.55 : x
  2. Step 2: Convert to fraction form
    66.92/92.55 = 92.55/x
  3. Step 3: Cross multiply
    66.92x = 92.55 × 92.55
  4. Step 4: Simplify right side
    66.92x = 8,565.29
  5. Step 5: Solve for x
    x = 8,565.29/66.92
  6. Step 6: Final answer
    x = 127.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.