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Finding the Third Proportional to 124.47 and 272.57

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Solution

The third proportional to 124.47 and 272.57 is: 596.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.47 : 272.57 = 272.57 : x
  2. Step 2: Convert to fraction form
    124.47/272.57 = 272.57/x
  3. Step 3: Cross multiply
    124.47x = 272.57 × 272.57
  4. Step 4: Simplify right side
    124.47x = 74,296.64
  5. Step 5: Solve for x
    x = 74,296.64/124.47
  6. Step 6: Final answer
    x = 596.89

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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.