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Finding the Third Proportional to 400,869 and 867,996

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Solution

The third proportional to 400,869 and 867,996 is: 1,879,459.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,869 : 867,996 = 867,996 : x
  2. Step 2: Convert to fraction form
    400,869/867,996 = 867,996/x
  3. Step 3: Cross multiply
    400,869x = 867,996 × 867,996
  4. Step 4: Simplify right side
    400,869x = 753,417,056,016
  5. Step 5: Solve for x
    x = 753,417,056,016/400,869
  6. Step 6: Final answer
    x = 1,879,459.51

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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.