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Finding the Third Proportional to 141.43 and 218.56

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Solution

The third proportional to 141.43 and 218.56 is: 337.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.43 : 218.56 = 218.56 : x
  2. Step 2: Convert to fraction form
    141.43/218.56 = 218.56/x
  3. Step 3: Cross multiply
    141.43x = 218.56 × 218.56
  4. Step 4: Simplify right side
    141.43x = 47,767.43
  5. Step 5: Solve for x
    x = 47,767.43/141.43
  6. Step 6: Final answer
    x = 337.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.