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Finding the Third Proportional to 81,988 and 180,026

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Solution

The third proportional to 81,988 and 180,026 is: 395,293.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,988 : 180,026 = 180,026 : x
  2. Step 2: Convert to fraction form
    81,988/180,026 = 180,026/x
  3. Step 3: Cross multiply
    81,988x = 180,026 × 180,026
  4. Step 4: Simplify right side
    81,988x = 32,409,360,676
  5. Step 5: Solve for x
    x = 32,409,360,676/81,988
  6. Step 6: Final answer
    x = 395,293.95

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.