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Finding the Third Proportional to 31,081 and 48,215

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Solution

The third proportional to 31,081 and 48,215 is: 74,794.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,081 : 48,215 = 48,215 : x
  2. Step 2: Convert to fraction form
    31,081/48,215 = 48,215/x
  3. Step 3: Cross multiply
    31,081x = 48,215 × 48,215
  4. Step 4: Simplify right side
    31,081x = 2,324,686,225
  5. Step 5: Solve for x
    x = 2,324,686,225/31,081
  6. Step 6: Final answer
    x = 74,794.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.