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Finding the Third Proportional to 88,422 and 135,215

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Solution

The third proportional to 88,422 and 135,215 is: 206,770.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,422 : 135,215 = 135,215 : x
  2. Step 2: Convert to fraction form
    88,422/135,215 = 135,215/x
  3. Step 3: Cross multiply
    88,422x = 135,215 × 135,215
  4. Step 4: Simplify right side
    88,422x = 18,283,096,225
  5. Step 5: Solve for x
    x = 18,283,096,225/88,422
  6. Step 6: Final answer
    x = 206,770.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.