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Finding the Third Proportional to 260,084 and 408,098

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Solution

The third proportional to 260,084 and 408,098 is: 640,346.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,084 : 408,098 = 408,098 : x
  2. Step 2: Convert to fraction form
    260,084/408,098 = 408,098/x
  3. Step 3: Cross multiply
    260,084x = 408,098 × 408,098
  4. Step 4: Simplify right side
    260,084x = 166,543,977,604
  5. Step 5: Solve for x
    x = 166,543,977,604/260,084
  6. Step 6: Final answer
    x = 640,346.88

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.