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Finding the Third Proportional to 278,832 and 420,864

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Solution

The third proportional to 278,832 and 420,864 is: 635,244.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,832 : 420,864 = 420,864 : x
  2. Step 2: Convert to fraction form
    278,832/420,864 = 420,864/x
  3. Step 3: Cross multiply
    278,832x = 420,864 × 420,864
  4. Step 4: Simplify right side
    278,832x = 177,126,506,496
  5. Step 5: Solve for x
    x = 177,126,506,496/278,832
  6. Step 6: Final answer
    x = 635,244.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.