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Finding the Third Proportional to 278,314 and 416,743

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Solution

The third proportional to 278,314 and 416,743 is: 624,024.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,314 : 416,743 = 416,743 : x
  2. Step 2: Convert to fraction form
    278,314/416,743 = 416,743/x
  3. Step 3: Cross multiply
    278,314x = 416,743 × 416,743
  4. Step 4: Simplify right side
    278,314x = 173,674,728,049
  5. Step 5: Solve for x
    x = 173,674,728,049/278,314
  6. Step 6: Final answer
    x = 624,024.40

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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.