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Finding the Third Proportional to 275,229.75 and 411,563.25

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Solution

The third proportional to 275,229.75 and 411,563.25 is: 615,428.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,229.75 : 411,563.25 = 411,563.25 : x
  2. Step 2: Convert to fraction form
    275,229.75/411,563.25 = 411,563.25/x
  3. Step 3: Cross multiply
    275,229.75x = 411,563.25 × 411,563.25
  4. Step 4: Simplify right side
    275,229.75x = 169,384,308,750.56
  5. Step 5: Solve for x
    x = 169,384,308,750.56/275,229.75
  6. Step 6: Final answer
    x = 615,428.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.