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Finding the Third Proportional to 400,979 and 867,406

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Solution

The third proportional to 400,979 and 867,406 is: 1,876,390.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,979 : 867,406 = 867,406 : x
  2. Step 2: Convert to fraction form
    400,979/867,406 = 867,406/x
  3. Step 3: Cross multiply
    400,979x = 867,406 × 867,406
  4. Step 4: Simplify right side
    400,979x = 752,393,168,836
  5. Step 5: Solve for x
    x = 752,393,168,836/400,979
  6. Step 6: Final answer
    x = 1,876,390.46

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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.