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Finding the Third Proportional to 78,876 and 171,130

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Solution

The third proportional to 78,876 and 171,130 is: 371,285.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,876 : 171,130 = 171,130 : x
  2. Step 2: Convert to fraction form
    78,876/171,130 = 171,130/x
  3. Step 3: Cross multiply
    78,876x = 171,130 × 171,130
  4. Step 4: Simplify right side
    78,876x = 29,285,476,900
  5. Step 5: Solve for x
    x = 29,285,476,900/78,876
  6. Step 6: Final answer
    x = 371,285.02

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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.