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Finding the Third Proportional to 61.70 and 132.97

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Solution

The third proportional to 61.70 and 132.97 is: 286.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.70 : 132.97 = 132.97 : x
  2. Step 2: Convert to fraction form
    61.70/132.97 = 132.97/x
  3. Step 3: Cross multiply
    61.70x = 132.97 × 132.97
  4. Step 4: Simplify right side
    61.70x = 17,680.95
  5. Step 5: Solve for x
    x = 17,680.95/61.70
  6. Step 6: Final answer
    x = 286.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.