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Finding the Third Proportional to 400,085 and 868,857

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Solution

The third proportional to 400,085 and 868,857 is: 1,886,880.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,085 : 868,857 = 868,857 : x
  2. Step 2: Convert to fraction form
    400,085/868,857 = 868,857/x
  3. Step 3: Cross multiply
    400,085x = 868,857 × 868,857
  4. Step 4: Simplify right side
    400,085x = 754,912,486,449
  5. Step 5: Solve for x
    x = 754,912,486,449/400,085
  6. Step 6: Final answer
    x = 1,886,880.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.