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Finding the Third Proportional to 31,995 and 51,115

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Solution

The third proportional to 31,995 and 51,115 is: 81,660.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,995 : 51,115 = 51,115 : x
  2. Step 2: Convert to fraction form
    31,995/51,115 = 51,115/x
  3. Step 3: Cross multiply
    31,995x = 51,115 × 51,115
  4. Step 4: Simplify right side
    31,995x = 2,612,743,225
  5. Step 5: Solve for x
    x = 2,612,743,225/31,995
  6. Step 6: Final answer
    x = 81,660.99

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.