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Finding the Third Proportional to 84,481 and 126,471

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Solution

The third proportional to 84,481 and 126,471 is: 189,331.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,481 : 126,471 = 126,471 : x
  2. Step 2: Convert to fraction form
    84,481/126,471 = 126,471/x
  3. Step 3: Cross multiply
    84,481x = 126,471 × 126,471
  4. Step 4: Simplify right side
    84,481x = 15,994,913,841
  5. Step 5: Solve for x
    x = 15,994,913,841/84,481
  6. Step 6: Final answer
    x = 189,331.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.