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Finding the Third Proportional to 81,031.50 and 168,561

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Solution

The third proportional to 81,031.50 and 168,561 is: 350,639.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,031.50 : 168,561 = 168,561 : x
  2. Step 2: Convert to fraction form
    81,031.50/168,561 = 168,561/x
  3. Step 3: Cross multiply
    81,031.50x = 168,561 × 168,561
  4. Step 4: Simplify right side
    81,031.50x = 28,412,810,721
  5. Step 5: Solve for x
    x = 28,412,810,721/81,031.50
  6. Step 6: Final answer
    x = 350,639.08

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.