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Finding the Third Proportional to 62.91 and 124.09

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Solution

The third proportional to 62.91 and 124.09 is: 244.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.91 : 124.09 = 124.09 : x
  2. Step 2: Convert to fraction form
    62.91/124.09 = 124.09/x
  3. Step 3: Cross multiply
    62.91x = 124.09 × 124.09
  4. Step 4: Simplify right side
    62.91x = 15,399.26
  5. Step 5: Solve for x
    x = 15,399.26/62.91
  6. Step 6: Final answer
    x = 244.80

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.