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Finding the Third Proportional to 249.75 and 534.94

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Solution

The third proportional to 249.75 and 534.94 is: 1,145.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.75 : 534.94 = 534.94 : x
  2. Step 2: Convert to fraction form
    249.75/534.94 = 534.94/x
  3. Step 3: Cross multiply
    249.75x = 534.94 × 534.94
  4. Step 4: Simplify right side
    249.75x = 286,158.13
  5. Step 5: Solve for x
    x = 286,158.13/249.75
  6. Step 6: Final answer
    x = 1,145.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.