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Finding the Third Proportional to 81,514 and 172,841

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Solution

The third proportional to 81,514 and 172,841 is: 366,489.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,514 : 172,841 = 172,841 : x
  2. Step 2: Convert to fraction form
    81,514/172,841 = 172,841/x
  3. Step 3: Cross multiply
    81,514x = 172,841 × 172,841
  4. Step 4: Simplify right side
    81,514x = 29,874,011,281
  5. Step 5: Solve for x
    x = 29,874,011,281/81,514
  6. Step 6: Final answer
    x = 366,489.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.