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Finding the Third Proportional to 400,981 and 867,410

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Solution

The third proportional to 400,981 and 867,410 is: 1,876,398.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,981 : 867,410 = 867,410 : x
  2. Step 2: Convert to fraction form
    400,981/867,410 = 867,410/x
  3. Step 3: Cross multiply
    400,981x = 867,410 × 867,410
  4. Step 4: Simplify right side
    400,981x = 752,400,108,100
  5. Step 5: Solve for x
    x = 752,400,108,100/400,981
  6. Step 6: Final answer
    x = 1,876,398.40

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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.