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Finding the Third Proportional to 400,912 and 808,384

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Solution

The third proportional to 400,912 and 808,384 is: 1,629,995.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,912 : 808,384 = 808,384 : x
  2. Step 2: Convert to fraction form
    400,912/808,384 = 808,384/x
  3. Step 3: Cross multiply
    400,912x = 808,384 × 808,384
  4. Step 4: Simplify right side
    400,912x = 653,484,691,456
  5. Step 5: Solve for x
    x = 653,484,691,456/400,912
  6. Step 6: Final answer
    x = 1,629,995.34

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.