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Finding the Third Proportional to 86,311.50 and 132,486

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Solution

The third proportional to 86,311.50 and 132,486 is: 203,362.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,311.50 : 132,486 = 132,486 : x
  2. Step 2: Convert to fraction form
    86,311.50/132,486 = 132,486/x
  3. Step 3: Cross multiply
    86,311.50x = 132,486 × 132,486
  4. Step 4: Simplify right side
    86,311.50x = 17,552,540,196
  5. Step 5: Solve for x
    x = 17,552,540,196/86,311.50
  6. Step 6: Final answer
    x = 203,362.71

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.