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Finding the Third Proportional to 101.47 and 132.98

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Solution

The third proportional to 101.47 and 132.98 is: 174.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.47 : 132.98 = 132.98 : x
  2. Step 2: Convert to fraction form
    101.47/132.98 = 132.98/x
  3. Step 3: Cross multiply
    101.47x = 132.98 × 132.98
  4. Step 4: Simplify right side
    101.47x = 17,684.84
  5. Step 5: Solve for x
    x = 17,684.84/101.47
  6. Step 6: Final answer
    x = 174.29

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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.