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Finding the Third Proportional to 249.19 and 539.86

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Solution

The third proportional to 249.19 and 539.86 is: 1,169.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.19 : 539.86 = 539.86 : x
  2. Step 2: Convert to fraction form
    249.19/539.86 = 539.86/x
  3. Step 3: Cross multiply
    249.19x = 539.86 × 539.86
  4. Step 4: Simplify right side
    249.19x = 291,448.14
  5. Step 5: Solve for x
    x = 291,448.14/249.19
  6. Step 6: Final answer
    x = 1,169.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.