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Finding the Third Proportional to 12.38 and 27.07

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Solution

The third proportional to 12.38 and 27.07 is: 59.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.38 : 27.07 = 27.07 : x
  2. Step 2: Convert to fraction form
    12.38/27.07 = 27.07/x
  3. Step 3: Cross multiply
    12.38x = 27.07 × 27.07
  4. Step 4: Simplify right side
    12.38x = 732.80
  5. Step 5: Solve for x
    x = 732.80/12.38
  6. Step 6: Final answer
    x = 59.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.