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Finding the Third Proportional to 31,275 and 48,512

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Solution

The third proportional to 31,275 and 48,512 is: 75,249.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,275 : 48,512 = 48,512 : x
  2. Step 2: Convert to fraction form
    31,275/48,512 = 48,512/x
  3. Step 3: Cross multiply
    31,275x = 48,512 × 48,512
  4. Step 4: Simplify right side
    31,275x = 2,353,414,144
  5. Step 5: Solve for x
    x = 2,353,414,144/31,275
  6. Step 6: Final answer
    x = 75,249.05

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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.