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Finding the Third Proportional to 251.25 and 560.81

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Solution

The third proportional to 251.25 and 560.81 is: 1,251.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.25 : 560.81 = 560.81 : x
  2. Step 2: Convert to fraction form
    251.25/560.81 = 560.81/x
  3. Step 3: Cross multiply
    251.25x = 560.81 × 560.81
  4. Step 4: Simplify right side
    251.25x = 314,510.66
  5. Step 5: Solve for x
    x = 314,510.66/251.25
  6. Step 6: Final answer
    x = 1,251.78

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.