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Finding the Third Proportional to 80,784 and 165,486

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Solution

The third proportional to 80,784 and 165,486 is: 338,998.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,784 : 165,486 = 165,486 : x
  2. Step 2: Convert to fraction form
    80,784/165,486 = 165,486/x
  3. Step 3: Cross multiply
    80,784x = 165,486 × 165,486
  4. Step 4: Simplify right side
    80,784x = 27,385,616,196
  5. Step 5: Solve for x
    x = 27,385,616,196/80,784
  6. Step 6: Final answer
    x = 338,998.02

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.