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Finding the Third Proportional to 251.25 and 422.13

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Solution

The third proportional to 251.25 and 422.13 is: 709.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.25 : 422.13 = 422.13 : x
  2. Step 2: Convert to fraction form
    251.25/422.13 = 422.13/x
  3. Step 3: Cross multiply
    251.25x = 422.13 × 422.13
  4. Step 4: Simplify right side
    251.25x = 178,189.52
  5. Step 5: Solve for x
    x = 178,189.52/251.25
  6. Step 6: Final answer
    x = 709.21

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.