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Finding the Third Proportional to 104,257 and 172,561

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Solution

The third proportional to 104,257 and 172,561 is: 285,614.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,257 : 172,561 = 172,561 : x
  2. Step 2: Convert to fraction form
    104,257/172,561 = 172,561/x
  3. Step 3: Cross multiply
    104,257x = 172,561 × 172,561
  4. Step 4: Simplify right side
    104,257x = 29,777,298,721
  5. Step 5: Solve for x
    x = 29,777,298,721/104,257
  6. Step 6: Final answer
    x = 285,614.38

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.