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Finding the Third Proportional to 31,812 and 47,175

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Solution

The third proportional to 31,812 and 47,175 is: 69,957.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,812 : 47,175 = 47,175 : x
  2. Step 2: Convert to fraction form
    31,812/47,175 = 47,175/x
  3. Step 3: Cross multiply
    31,812x = 47,175 × 47,175
  4. Step 4: Simplify right side
    31,812x = 2,225,480,625
  5. Step 5: Solve for x
    x = 2,225,480,625/31,812
  6. Step 6: Final answer
    x = 69,957.27

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.