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Finding the Third Proportional to 274,452.75 and 428,278.50

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Solution

The third proportional to 274,452.75 and 428,278.50 is: 668,320.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,452.75 : 428,278.50 = 428,278.50 : x
  2. Step 2: Convert to fraction form
    274,452.75/428,278.50 = 428,278.50/x
  3. Step 3: Cross multiply
    274,452.75x = 428,278.50 × 428,278.50
  4. Step 4: Simplify right side
    274,452.75x = 183,422,473,562.25
  5. Step 5: Solve for x
    x = 183,422,473,562.25/274,452.75
  6. Step 6: Final answer
    x = 668,320.77

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.