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Finding the Third Proportional to 116,657 and 180,980

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Solution

The third proportional to 116,657 and 180,980 is: 280,769.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,657 : 180,980 = 180,980 : x
  2. Step 2: Convert to fraction form
    116,657/180,980 = 180,980/x
  3. Step 3: Cross multiply
    116,657x = 180,980 × 180,980
  4. Step 4: Simplify right side
    116,657x = 32,753,760,400
  5. Step 5: Solve for x
    x = 32,753,760,400/116,657
  6. Step 6: Final answer
    x = 280,769.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.