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Finding the Third Proportional to 78,874 and 171,126

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Solution

The third proportional to 78,874 and 171,126 is: 371,277.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,874 : 171,126 = 171,126 : x
  2. Step 2: Convert to fraction form
    78,874/171,126 = 171,126/x
  3. Step 3: Cross multiply
    78,874x = 171,126 × 171,126
  4. Step 4: Simplify right side
    78,874x = 29,284,107,876
  5. Step 5: Solve for x
    x = 29,284,107,876/78,874
  6. Step 6: Final answer
    x = 371,277.07

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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.