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Finding the Third Proportional to 100.78 and 132.19

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Solution

The third proportional to 100.78 and 132.19 is: 173.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.78 : 132.19 = 132.19 : x
  2. Step 2: Convert to fraction form
    100.78/132.19 = 132.19/x
  3. Step 3: Cross multiply
    100.78x = 132.19 × 132.19
  4. Step 4: Simplify right side
    100.78x = 17,473.54
  5. Step 5: Solve for x
    x = 17,473.54/100.78
  6. Step 6: Final answer
    x = 173.38

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.