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Finding the Third Proportional to 249.94 and 565.22

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Solution

The third proportional to 249.94 and 565.22 is: 1,278.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.94 : 565.22 = 565.22 : x
  2. Step 2: Convert to fraction form
    249.94/565.22 = 565.22/x
  3. Step 3: Cross multiply
    249.94x = 565.22 × 565.22
  4. Step 4: Simplify right side
    249.94x = 319,472.24
  5. Step 5: Solve for x
    x = 319,472.24/249.94
  6. Step 6: Final answer
    x = 1,278.21

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.