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Finding the Third Proportional to 71.30 and 132.47

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Solution

The third proportional to 71.30 and 132.47 is: 246.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.30 : 132.47 = 132.47 : x
  2. Step 2: Convert to fraction form
    71.30/132.47 = 132.47/x
  3. Step 3: Cross multiply
    71.30x = 132.47 × 132.47
  4. Step 4: Simplify right side
    71.30x = 17,547.97
  5. Step 5: Solve for x
    x = 17,547.97/71.30
  6. Step 6: Final answer
    x = 246.13

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.