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Finding the Third Proportional to 408,280 and 865,976

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Solution

The third proportional to 408,280 and 865,976 is: 1,836,765.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,280 : 865,976 = 865,976 : x
  2. Step 2: Convert to fraction form
    408,280/865,976 = 865,976/x
  3. Step 3: Cross multiply
    408,280x = 865,976 × 865,976
  4. Step 4: Simplify right side
    408,280x = 749,914,432,576
  5. Step 5: Solve for x
    x = 749,914,432,576/408,280
  6. Step 6: Final answer
    x = 1,836,765.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.