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Finding the Third Proportional to 402,966 and 868,884

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Solution

The third proportional to 402,966 and 868,884 is: 1,873,506.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,966 : 868,884 = 868,884 : x
  2. Step 2: Convert to fraction form
    402,966/868,884 = 868,884/x
  3. Step 3: Cross multiply
    402,966x = 868,884 × 868,884
  4. Step 4: Simplify right side
    402,966x = 754,959,405,456
  5. Step 5: Solve for x
    x = 754,959,405,456/402,966
  6. Step 6: Final answer
    x = 1,873,506.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.