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Finding the Third Proportional to 467,869 and 685,120

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Solution

The third proportional to 467,869 and 685,120 is: 1,003,249.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,869 : 685,120 = 685,120 : x
  2. Step 2: Convert to fraction form
    467,869/685,120 = 685,120/x
  3. Step 3: Cross multiply
    467,869x = 685,120 × 685,120
  4. Step 4: Simplify right side
    467,869x = 469,389,414,400
  5. Step 5: Solve for x
    x = 469,389,414,400/467,869
  6. Step 6: Final answer
    x = 1,003,249.66

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.