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Finding the Third Proportional to 422,278.50 and 654,414.75

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Solution

The third proportional to 422,278.50 and 654,414.75 is: 1,014,161.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,278.50 : 654,414.75 = 654,414.75 : x
  2. Step 2: Convert to fraction form
    422,278.50/654,414.75 = 654,414.75/x
  3. Step 3: Cross multiply
    422,278.50x = 654,414.75 × 654,414.75
  4. Step 4: Simplify right side
    422,278.50x = 428,258,665,017.56
  5. Step 5: Solve for x
    x = 428,258,665,017.56/422,278.50
  6. Step 6: Final answer
    x = 1,014,161.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.