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Finding the Third Proportional to 278,325 and 416,753

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Solution

The third proportional to 278,325 and 416,753 is: 624,029.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,325 : 416,753 = 416,753 : x
  2. Step 2: Convert to fraction form
    278,325/416,753 = 416,753/x
  3. Step 3: Cross multiply
    278,325x = 416,753 × 416,753
  4. Step 4: Simplify right side
    278,325x = 173,683,063,009
  5. Step 5: Solve for x
    x = 173,683,063,009/278,325
  6. Step 6: Final answer
    x = 624,029.69

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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.