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Finding the Third Proportional to 63.76 and 138.11

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Solution

The third proportional to 63.76 and 138.11 is: 299.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.76 : 138.11 = 138.11 : x
  2. Step 2: Convert to fraction form
    63.76/138.11 = 138.11/x
  3. Step 3: Cross multiply
    63.76x = 138.11 × 138.11
  4. Step 4: Simplify right side
    63.76x = 19,074.74
  5. Step 5: Solve for x
    x = 19,074.74/63.76
  6. Step 6: Final answer
    x = 299.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.