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Finding the Third Proportional to 91,215 and 136,456

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Solution

The third proportional to 91,215 and 136,456 is: 204,135.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,215 : 136,456 = 136,456 : x
  2. Step 2: Convert to fraction form
    91,215/136,456 = 136,456/x
  3. Step 3: Cross multiply
    91,215x = 136,456 × 136,456
  4. Step 4: Simplify right side
    91,215x = 18,620,239,936
  5. Step 5: Solve for x
    x = 18,620,239,936/91,215
  6. Step 6: Final answer
    x = 204,135.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.