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Finding the Third Proportional to 81,588 and 165,471

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Solution

The third proportional to 81,588 and 165,471 is: 335,596.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,588 : 165,471 = 165,471 : x
  2. Step 2: Convert to fraction form
    81,588/165,471 = 165,471/x
  3. Step 3: Cross multiply
    81,588x = 165,471 × 165,471
  4. Step 4: Simplify right side
    81,588x = 27,380,651,841
  5. Step 5: Solve for x
    x = 27,380,651,841/81,588
  6. Step 6: Final answer
    x = 335,596.56

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.