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Finding the Third Proportional to 79.31 and 125.72

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Solution

The third proportional to 79.31 and 125.72 is: 199.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.31 : 125.72 = 125.72 : x
  2. Step 2: Convert to fraction form
    79.31/125.72 = 125.72/x
  3. Step 3: Cross multiply
    79.31x = 125.72 × 125.72
  4. Step 4: Simplify right side
    79.31x = 15,805.20
  5. Step 5: Solve for x
    x = 15,805.20/79.31
  6. Step 6: Final answer
    x = 199.28

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.