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Finding the Third Proportional to 78,466 and 171,866

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Solution

The third proportional to 78,466 and 171,866 is: 376,442.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,466 : 171,866 = 171,866 : x
  2. Step 2: Convert to fraction form
    78,466/171,866 = 171,866/x
  3. Step 3: Cross multiply
    78,466x = 171,866 × 171,866
  4. Step 4: Simplify right side
    78,466x = 29,537,921,956
  5. Step 5: Solve for x
    x = 29,537,921,956/78,466
  6. Step 6: Final answer
    x = 376,442.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.