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Finding the Third Proportional to 138.66 and 147.56

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Solution

The third proportional to 138.66 and 147.56 is: 157.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.66 : 147.56 = 147.56 : x
  2. Step 2: Convert to fraction form
    138.66/147.56 = 147.56/x
  3. Step 3: Cross multiply
    138.66x = 147.56 × 147.56
  4. Step 4: Simplify right side
    138.66x = 21,774.69
  5. Step 5: Solve for x
    x = 21,774.69/138.66
  6. Step 6: Final answer
    x = 157.04

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Why These Related Problems?

These problems maintain the same ratio (1.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.