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Finding the Third Proportional to 124.59 and 174.23

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Solution

The third proportional to 124.59 and 174.23 is: 243.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.59 : 174.23 = 174.23 : x
  2. Step 2: Convert to fraction form
    124.59/174.23 = 174.23/x
  3. Step 3: Cross multiply
    124.59x = 174.23 × 174.23
  4. Step 4: Simplify right side
    124.59x = 30,357.62
  5. Step 5: Solve for x
    x = 30,357.62/124.59
  6. Step 6: Final answer
    x = 243.65

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.