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Finding the Third Proportional to 408,274 and 865,963

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Solution

The third proportional to 408,274 and 865,963 is: 1,836,736.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,274 : 865,963 = 865,963 : x
  2. Step 2: Convert to fraction form
    408,274/865,963 = 865,963/x
  3. Step 3: Cross multiply
    408,274x = 865,963 × 865,963
  4. Step 4: Simplify right side
    408,274x = 749,891,917,369
  5. Step 5: Solve for x
    x = 749,891,917,369/408,274
  6. Step 6: Final answer
    x = 1,836,736.89

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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.