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Finding the Third Proportional to 83,172 and 180,561

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Solution

The third proportional to 83,172 and 180,561 is: 391,986.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,172 : 180,561 = 180,561 : x
  2. Step 2: Convert to fraction form
    83,172/180,561 = 180,561/x
  3. Step 3: Cross multiply
    83,172x = 180,561 × 180,561
  4. Step 4: Simplify right side
    83,172x = 32,602,274,721
  5. Step 5: Solve for x
    x = 32,602,274,721/83,172
  6. Step 6: Final answer
    x = 391,986.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.