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Finding the Third Proportional to 180,828 and 267,555

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Solution

The third proportional to 180,828 and 267,555 is: 395,877.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,828 : 267,555 = 267,555 : x
  2. Step 2: Convert to fraction form
    180,828/267,555 = 267,555/x
  3. Step 3: Cross multiply
    180,828x = 267,555 × 267,555
  4. Step 4: Simplify right side
    180,828x = 71,585,678,025
  5. Step 5: Solve for x
    x = 71,585,678,025/180,828
  6. Step 6: Final answer
    x = 395,877.18

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.