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Finding the Third Proportional to 275,221.50 and 411,552.75

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Solution

The third proportional to 275,221.50 and 411,552.75 is: 615,415.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,221.50 : 411,552.75 = 411,552.75 : x
  2. Step 2: Convert to fraction form
    275,221.50/411,552.75 = 411,552.75/x
  3. Step 3: Cross multiply
    275,221.50x = 411,552.75 × 411,552.75
  4. Step 4: Simplify right side
    275,221.50x = 169,375,666,032.56
  5. Step 5: Solve for x
    x = 169,375,666,032.56/275,221.50
  6. Step 6: Final answer
    x = 615,415.82

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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.