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Finding the Third Proportional to 83,784 and 180,687

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Solution

The third proportional to 83,784 and 180,687 is: 389,666.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,784 : 180,687 = 180,687 : x
  2. Step 2: Convert to fraction form
    83,784/180,687 = 180,687/x
  3. Step 3: Cross multiply
    83,784x = 180,687 × 180,687
  4. Step 4: Simplify right side
    83,784x = 32,647,791,969
  5. Step 5: Solve for x
    x = 32,647,791,969/83,784
  6. Step 6: Final answer
    x = 389,666.19

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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.