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Finding the Third Proportional to 88,225 and 136,805

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Solution

The third proportional to 88,225 and 136,805 is: 212,134.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,225 : 136,805 = 136,805 : x
  2. Step 2: Convert to fraction form
    88,225/136,805 = 136,805/x
  3. Step 3: Cross multiply
    88,225x = 136,805 × 136,805
  4. Step 4: Simplify right side
    88,225x = 18,715,608,025
  5. Step 5: Solve for x
    x = 18,715,608,025/88,225
  6. Step 6: Final answer
    x = 212,134.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.