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Finding the Third Proportional to 402,516 and 861,394

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Solution

The third proportional to 402,516 and 861,394 is: 1,843,404.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,516 : 861,394 = 861,394 : x
  2. Step 2: Convert to fraction form
    402,516/861,394 = 861,394/x
  3. Step 3: Cross multiply
    402,516x = 861,394 × 861,394
  4. Step 4: Simplify right side
    402,516x = 741,999,623,236
  5. Step 5: Solve for x
    x = 741,999,623,236/402,516
  6. Step 6: Final answer
    x = 1,843,404.05

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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.