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Finding the Third Proportional to 86,311 and 132,485

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Solution

The third proportional to 86,311 and 132,485 is: 203,360.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,311 : 132,485 = 132,485 : x
  2. Step 2: Convert to fraction form
    86,311/132,485 = 132,485/x
  3. Step 3: Cross multiply
    86,311x = 132,485 × 132,485
  4. Step 4: Simplify right side
    86,311x = 17,552,275,225
  5. Step 5: Solve for x
    x = 17,552,275,225/86,311
  6. Step 6: Final answer
    x = 203,360.81

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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.