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Finding the Third Proportional to 63.13 and 134.97

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Solution

The third proportional to 63.13 and 134.97 is: 288.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.13 : 134.97 = 134.97 : x
  2. Step 2: Convert to fraction form
    63.13/134.97 = 134.97/x
  3. Step 3: Cross multiply
    63.13x = 134.97 × 134.97
  4. Step 4: Simplify right side
    63.13x = 18,216.56
  5. Step 5: Solve for x
    x = 18,216.56/63.13
  6. Step 6: Final answer
    x = 288.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.