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Finding the Third Proportional to 402,510 and 861,381

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Solution

The third proportional to 402,510 and 861,381 is: 1,843,375.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,510 : 861,381 = 861,381 : x
  2. Step 2: Convert to fraction form
    402,510/861,381 = 861,381/x
  3. Step 3: Cross multiply
    402,510x = 861,381 × 861,381
  4. Step 4: Simplify right side
    402,510x = 741,977,227,161
  5. Step 5: Solve for x
    x = 741,977,227,161/402,510
  6. Step 6: Final answer
    x = 1,843,375.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.