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Finding the Third Proportional to 63.13 and 132.88

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Solution

The third proportional to 63.13 and 132.88 is: 279.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.13 : 132.88 = 132.88 : x
  2. Step 2: Convert to fraction form
    63.13/132.88 = 132.88/x
  3. Step 3: Cross multiply
    63.13x = 132.88 × 132.88
  4. Step 4: Simplify right side
    63.13x = 17,655.77
  5. Step 5: Solve for x
    x = 17,655.77/63.13
  6. Step 6: Final answer
    x = 279.70

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.