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Finding the Third Proportional to 853,641 and 1,278,234

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Solution

The third proportional to 853,641 and 1,278,234 is: 1,914,015.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,641 : 1,278,234 = 1,278,234 : x
  2. Step 2: Convert to fraction form
    853,641/1,278,234 = 1,278,234/x
  3. Step 3: Cross multiply
    853,641x = 1,278,234 × 1,278,234
  4. Step 4: Simplify right side
    853,641x = 1,633,882,158,756
  5. Step 5: Solve for x
    x = 1,633,882,158,756/853,641
  6. Step 6: Final answer
    x = 1,914,015.56

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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.