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Finding the Third Proportional to 86,761 and 131,236

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Solution

The third proportional to 86,761 and 131,236 is: 198,509.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,761 : 131,236 = 131,236 : x
  2. Step 2: Convert to fraction form
    86,761/131,236 = 131,236/x
  3. Step 3: Cross multiply
    86,761x = 131,236 × 131,236
  4. Step 4: Simplify right side
    86,761x = 17,222,887,696
  5. Step 5: Solve for x
    x = 17,222,887,696/86,761
  6. Step 6: Final answer
    x = 198,509.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.