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Finding the Third Proportional to 215,867 and 362,195

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Solution

The third proportional to 215,867 and 362,195 is: 607,713.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,867 : 362,195 = 362,195 : x
  2. Step 2: Convert to fraction form
    215,867/362,195 = 362,195/x
  3. Step 3: Cross multiply
    215,867x = 362,195 × 362,195
  4. Step 4: Simplify right side
    215,867x = 131,185,218,025
  5. Step 5: Solve for x
    x = 131,185,218,025/215,867
  6. Step 6: Final answer
    x = 607,713.17

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.