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Finding the Third Proportional to 180,278.25 and 275,184.75

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Solution

The third proportional to 180,278.25 and 275,184.75 is: 420,054.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,278.25 : 275,184.75 = 275,184.75 : x
  2. Step 2: Convert to fraction form
    180,278.25/275,184.75 = 275,184.75/x
  3. Step 3: Cross multiply
    180,278.25x = 275,184.75 × 275,184.75
  4. Step 4: Simplify right side
    180,278.25x = 75,726,646,632.56
  5. Step 5: Solve for x
    x = 75,726,646,632.56/180,278.25
  6. Step 6: Final answer
    x = 420,054.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.