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Finding the Third Proportional to 87,514 and 178,716

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Solution

The third proportional to 87,514 and 178,716 is: 364,963.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,514 : 178,716 = 178,716 : x
  2. Step 2: Convert to fraction form
    87,514/178,716 = 178,716/x
  3. Step 3: Cross multiply
    87,514x = 178,716 × 178,716
  4. Step 4: Simplify right side
    87,514x = 31,939,408,656
  5. Step 5: Solve for x
    x = 31,939,408,656/87,514
  6. Step 6: Final answer
    x = 364,963.42

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.