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Finding the Third Proportional to 274,844.06 and 420,439.78

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Solution

The third proportional to 274,844.06 and 420,439.78 is: 643,163.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,844.06 : 420,439.78 = 420,439.78 : x
  2. Step 2: Convert to fraction form
    274,844.06/420,439.78 = 420,439.78/x
  3. Step 3: Cross multiply
    274,844.06x = 420,439.78 × 420,439.78
  4. Step 4: Simplify right side
    274,844.06x = 176,769,609,657.55
  5. Step 5: Solve for x
    x = 176,769,609,657.55/274,844.06
  6. Step 6: Final answer
    x = 643,163.28

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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.