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Finding the Third Proportional to 66.52 and 141.14

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Solution

The third proportional to 66.52 and 141.14 is: 299.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.52 : 141.14 = 141.14 : x
  2. Step 2: Convert to fraction form
    66.52/141.14 = 141.14/x
  3. Step 3: Cross multiply
    66.52x = 141.14 × 141.14
  4. Step 4: Simplify right side
    66.52x = 19,920.68
  5. Step 5: Solve for x
    x = 19,920.68/66.52
  6. Step 6: Final answer
    x = 299.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.