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Finding the Third Proportional to 278,318 and 416,749

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Solution

The third proportional to 278,318 and 416,749 is: 624,033.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,318 : 416,749 = 416,749 : x
  2. Step 2: Convert to fraction form
    278,318/416,749 = 416,749/x
  3. Step 3: Cross multiply
    278,318x = 416,749 × 416,749
  4. Step 4: Simplify right side
    278,318x = 173,679,729,001
  5. Step 5: Solve for x
    x = 173,679,729,001/278,318
  6. Step 6: Final answer
    x = 624,033.40

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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.