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Finding the Third Proportional to 278,310 and 416,737.50

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Solution

The third proportional to 278,310 and 416,737.50 is: 624,016.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,310 : 416,737.50 = 416,737.50 : x
  2. Step 2: Convert to fraction form
    278,310/416,737.50 = 416,737.50/x
  3. Step 3: Cross multiply
    278,310x = 416,737.50 × 416,737.50
  4. Step 4: Simplify right side
    278,310x = 173,670,143,906.25
  5. Step 5: Solve for x
    x = 173,670,143,906.25/278,310
  6. Step 6: Final answer
    x = 624,016.90

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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.