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Finding the Third Proportional to 402,100 and 865,981

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Solution

The third proportional to 402,100 and 865,981 is: 1,865,016.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,100 : 865,981 = 865,981 : x
  2. Step 2: Convert to fraction form
    402,100/865,981 = 865,981/x
  3. Step 3: Cross multiply
    402,100x = 865,981 × 865,981
  4. Step 4: Simplify right side
    402,100x = 749,923,092,361
  5. Step 5: Solve for x
    x = 749,923,092,361/402,100
  6. Step 6: Final answer
    x = 1,865,016.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.