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Finding the Third Proportional to 83,815 and 180,698

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Solution

The third proportional to 83,815 and 180,698 is: 389,569.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,815 : 180,698 = 180,698 : x
  2. Step 2: Convert to fraction form
    83,815/180,698 = 180,698/x
  3. Step 3: Cross multiply
    83,815x = 180,698 × 180,698
  4. Step 4: Simplify right side
    83,815x = 32,651,767,204
  5. Step 5: Solve for x
    x = 32,651,767,204/83,815
  6. Step 6: Final answer
    x = 389,569.49

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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.