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Finding the Third Proportional to 81,498 and 171,866

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Solution

The third proportional to 81,498 and 171,866 is: 362,437.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,498 : 171,866 = 171,866 : x
  2. Step 2: Convert to fraction form
    81,498/171,866 = 171,866/x
  3. Step 3: Cross multiply
    81,498x = 171,866 × 171,866
  4. Step 4: Simplify right side
    81,498x = 29,537,921,956
  5. Step 5: Solve for x
    x = 29,537,921,956/81,498
  6. Step 6: Final answer
    x = 362,437.38

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.