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Finding the Third Proportional to 124.13 and 270.38

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Solution

The third proportional to 124.13 and 270.38 is: 588.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.13 : 270.38 = 270.38 : x
  2. Step 2: Convert to fraction form
    124.13/270.38 = 270.38/x
  3. Step 3: Cross multiply
    124.13x = 270.38 × 270.38
  4. Step 4: Simplify right side
    124.13x = 73,102.64
  5. Step 5: Solve for x
    x = 73,102.64/124.13
  6. Step 6: Final answer
    x = 588.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.