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Finding the Third Proportional to 400,972 and 864,626

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Solution

The third proportional to 400,972 and 864,626 is: 1,864,414.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,972 : 864,626 = 864,626 : x
  2. Step 2: Convert to fraction form
    400,972/864,626 = 864,626/x
  3. Step 3: Cross multiply
    400,972x = 864,626 × 864,626
  4. Step 4: Simplify right side
    400,972x = 747,578,119,876
  5. Step 5: Solve for x
    x = 747,578,119,876/400,972
  6. Step 6: Final answer
    x = 1,864,414.77

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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.