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Finding the Third Proportional to 251.72 and 531.69

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Solution

The third proportional to 251.72 and 531.69 is: 1,123.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.72 : 531.69 = 531.69 : x
  2. Step 2: Convert to fraction form
    251.72/531.69 = 531.69/x
  3. Step 3: Cross multiply
    251.72x = 531.69 × 531.69
  4. Step 4: Simplify right side
    251.72x = 282,691.60
  5. Step 5: Solve for x
    x = 282,691.60/251.72
  6. Step 6: Final answer
    x = 1,123.05

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.