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Finding the Third Proportional to 83,642 and 180,418

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Solution

The third proportional to 83,642 and 180,418 is: 389,166.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,642 : 180,418 = 180,418 : x
  2. Step 2: Convert to fraction form
    83,642/180,418 = 180,418/x
  3. Step 3: Cross multiply
    83,642x = 180,418 × 180,418
  4. Step 4: Simplify right side
    83,642x = 32,550,654,724
  5. Step 5: Solve for x
    x = 32,550,654,724/83,642
  6. Step 6: Final answer
    x = 389,166.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.