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Finding the Third Proportional to 409,293 and 838,872

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Solution

The third proportional to 409,293 and 838,872 is: 1,719,321.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,293 : 838,872 = 838,872 : x
  2. Step 2: Convert to fraction form
    409,293/838,872 = 838,872/x
  3. Step 3: Cross multiply
    409,293x = 838,872 × 838,872
  4. Step 4: Simplify right side
    409,293x = 703,706,232,384
  5. Step 5: Solve for x
    x = 703,706,232,384/409,293
  6. Step 6: Final answer
    x = 1,719,321.45

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.