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Finding the Third Proportional to 62.12 and 133.68

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Solution

The third proportional to 62.12 and 133.68 is: 287.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.12 : 133.68 = 133.68 : x
  2. Step 2: Convert to fraction form
    62.12/133.68 = 133.68/x
  3. Step 3: Cross multiply
    62.12x = 133.68 × 133.68
  4. Step 4: Simplify right side
    62.12x = 17,870.78
  5. Step 5: Solve for x
    x = 17,870.78/62.12
  6. Step 6: Final answer
    x = 287.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.