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Finding the Third Proportional to 132,318 and 180,980

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Solution

The third proportional to 132,318 and 180,980 is: 247,538.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,318 : 180,980 = 180,980 : x
  2. Step 2: Convert to fraction form
    132,318/180,980 = 180,980/x
  3. Step 3: Cross multiply
    132,318x = 180,980 × 180,980
  4. Step 4: Simplify right side
    132,318x = 32,753,760,400
  5. Step 5: Solve for x
    x = 32,753,760,400/132,318
  6. Step 6: Final answer
    x = 247,538.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.