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Finding the Third Proportional to 409,904 and 868,384

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Solution

The third proportional to 409,904 and 868,384 is: 1,839,676.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,904 : 868,384 = 868,384 : x
  2. Step 2: Convert to fraction form
    409,904/868,384 = 868,384/x
  3. Step 3: Cross multiply
    409,904x = 868,384 × 868,384
  4. Step 4: Simplify right side
    409,904x = 754,090,771,456
  5. Step 5: Solve for x
    x = 754,090,771,456/409,904
  6. Step 6: Final answer
    x = 1,839,676.54

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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.