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Finding the Third Proportional to 83,476 and 180,872

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Solution

The third proportional to 83,476 and 180,872 is: 391,905.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,476 : 180,872 = 180,872 : x
  2. Step 2: Convert to fraction form
    83,476/180,872 = 180,872/x
  3. Step 3: Cross multiply
    83,476x = 180,872 × 180,872
  4. Step 4: Simplify right side
    83,476x = 32,714,680,384
  5. Step 5: Solve for x
    x = 32,714,680,384/83,476
  6. Step 6: Final answer
    x = 391,905.22

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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.