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Finding the Third Proportional to 91.78 and 124.66

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Solution

The third proportional to 91.78 and 124.66 is: 169.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.78 : 124.66 = 124.66 : x
  2. Step 2: Convert to fraction form
    91.78/124.66 = 124.66/x
  3. Step 3: Cross multiply
    91.78x = 124.66 × 124.66
  4. Step 4: Simplify right side
    91.78x = 15,541.13
  5. Step 5: Solve for x
    x = 15,541.13/91.78
  6. Step 6: Final answer
    x = 169.32

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.