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Finding the Third Proportional to 89,932 and 136,242

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Solution

The third proportional to 89,932 and 136,242 is: 206,399.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,932 : 136,242 = 136,242 : x
  2. Step 2: Convert to fraction form
    89,932/136,242 = 136,242/x
  3. Step 3: Cross multiply
    89,932x = 136,242 × 136,242
  4. Step 4: Simplify right side
    89,932x = 18,561,882,564
  5. Step 5: Solve for x
    x = 18,561,882,564/89,932
  6. Step 6: Final answer
    x = 206,399.09

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.