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Finding the Third Proportional to 512,869 and 691,662

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Solution

The third proportional to 512,869 and 691,662 is: 932,784.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,869 : 691,662 = 691,662 : x
  2. Step 2: Convert to fraction form
    512,869/691,662 = 691,662/x
  3. Step 3: Cross multiply
    512,869x = 691,662 × 691,662
  4. Step 4: Simplify right side
    512,869x = 478,396,322,244
  5. Step 5: Solve for x
    x = 478,396,322,244/512,869
  6. Step 6: Final answer
    x = 932,784.63

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.