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Finding the Third Proportional to 62.69 and 133.13

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Solution

The third proportional to 62.69 and 133.13 is: 282.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.69 : 133.13 = 133.13 : x
  2. Step 2: Convert to fraction form
    62.69/133.13 = 133.13/x
  3. Step 3: Cross multiply
    62.69x = 133.13 × 133.13
  4. Step 4: Simplify right side
    62.69x = 17,722.27
  5. Step 5: Solve for x
    x = 17,722.27/62.69
  6. Step 6: Final answer
    x = 282.71

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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.