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Finding the Third Proportional to 251.44 and 531.98

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Solution

The third proportional to 251.44 and 531.98 is: 1,125.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.44 : 531.98 = 531.98 : x
  2. Step 2: Convert to fraction form
    251.44/531.98 = 531.98/x
  3. Step 3: Cross multiply
    251.44x = 531.98 × 531.98
  4. Step 4: Simplify right side
    251.44x = 283,007.38
  5. Step 5: Solve for x
    x = 283,007.38/251.44
  6. Step 6: Final answer
    x = 1,125.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.