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Finding the Third Proportional to 85,908 and 126,285

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Solution

The third proportional to 85,908 and 126,285 is: 185,639.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,908 : 126,285 = 126,285 : x
  2. Step 2: Convert to fraction form
    85,908/126,285 = 126,285/x
  3. Step 3: Cross multiply
    85,908x = 126,285 × 126,285
  4. Step 4: Simplify right side
    85,908x = 15,947,901,225
  5. Step 5: Solve for x
    x = 15,947,901,225/85,908
  6. Step 6: Final answer
    x = 185,639.30

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.