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Finding the Third Proportional to 278,320 and 416,752

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Solution

The third proportional to 278,320 and 416,752 is: 624,037.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,320 : 416,752 = 416,752 : x
  2. Step 2: Convert to fraction form
    278,320/416,752 = 416,752/x
  3. Step 3: Cross multiply
    278,320x = 416,752 × 416,752
  4. Step 4: Simplify right side
    278,320x = 173,682,229,504
  5. Step 5: Solve for x
    x = 173,682,229,504/278,320
  6. Step 6: Final answer
    x = 624,037.90

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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.