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Finding the Third Proportional to 61.38 and 132.26

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Solution

The third proportional to 61.38 and 132.26 is: 284.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.38 : 132.26 = 132.26 : x
  2. Step 2: Convert to fraction form
    61.38/132.26 = 132.26/x
  3. Step 3: Cross multiply
    61.38x = 132.26 × 132.26
  4. Step 4: Simplify right side
    61.38x = 17,492.13
  5. Step 5: Solve for x
    x = 17,492.13/61.38
  6. Step 6: Final answer
    x = 284.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.