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Finding the Third Proportional to 180,536 and 396,080

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Solution

The third proportional to 180,536 and 396,080 is: 868,964.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,536 : 396,080 = 396,080 : x
  2. Step 2: Convert to fraction form
    180,536/396,080 = 396,080/x
  3. Step 3: Cross multiply
    180,536x = 396,080 × 396,080
  4. Step 4: Simplify right side
    180,536x = 156,879,366,400
  5. Step 5: Solve for x
    x = 156,879,366,400/180,536
  6. Step 6: Final answer
    x = 868,964.45

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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.