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Finding the Third Proportional to 80,948.50 and 165,108

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Solution

The third proportional to 80,948.50 and 165,108 is: 336,765.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,948.50 : 165,108 = 165,108 : x
  2. Step 2: Convert to fraction form
    80,948.50/165,108 = 165,108/x
  3. Step 3: Cross multiply
    80,948.50x = 165,108 × 165,108
  4. Step 4: Simplify right side
    80,948.50x = 27,260,651,664
  5. Step 5: Solve for x
    x = 27,260,651,664/80,948.50
  6. Step 6: Final answer
    x = 336,765.37

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.