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Finding the Third Proportional to 408,517 and 865,610

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Solution

The third proportional to 408,517 and 865,610 is: 1,834,148.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,517 : 865,610 = 865,610 : x
  2. Step 2: Convert to fraction form
    408,517/865,610 = 865,610/x
  3. Step 3: Cross multiply
    408,517x = 865,610 × 865,610
  4. Step 4: Simplify right side
    408,517x = 749,280,672,100
  5. Step 5: Solve for x
    x = 749,280,672,100/408,517
  6. Step 6: Final answer
    x = 1,834,148.08

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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.