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Finding the Third Proportional to 251.13 and 426.88

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Solution

The third proportional to 251.13 and 426.88 is: 725.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.13 : 426.88 = 426.88 : x
  2. Step 2: Convert to fraction form
    251.13/426.88 = 426.88/x
  3. Step 3: Cross multiply
    251.13x = 426.88 × 426.88
  4. Step 4: Simplify right side
    251.13x = 182,222.27
  5. Step 5: Solve for x
    x = 182,222.27/251.13
  6. Step 6: Final answer
    x = 725.62

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.