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Finding the Third Proportional to 180,496 and 396,000

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Solution

The third proportional to 180,496 and 396,000 is: 868,805.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,496 : 396,000 = 396,000 : x
  2. Step 2: Convert to fraction form
    180,496/396,000 = 396,000/x
  3. Step 3: Cross multiply
    180,496x = 396,000 × 396,000
  4. Step 4: Simplify right side
    180,496x = 156,816,000,000
  5. Step 5: Solve for x
    x = 156,816,000,000/180,496
  6. Step 6: Final answer
    x = 868,805.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.