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Finding the Third Proportional to 41,800 and 81,506

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Solution

The third proportional to 41,800 and 81,506 is: 158,928.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,800 : 81,506 = 81,506 : x
  2. Step 2: Convert to fraction form
    41,800/81,506 = 81,506/x
  3. Step 3: Cross multiply
    41,800x = 81,506 × 81,506
  4. Step 4: Simplify right side
    41,800x = 6,643,228,036
  5. Step 5: Solve for x
    x = 6,643,228,036/41,800
  6. Step 6: Final answer
    x = 158,928.90

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.