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Finding the Third Proportional to 31,730 and 47,225

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Solution

The third proportional to 31,730 and 47,225 is: 70,286.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,730 : 47,225 = 47,225 : x
  2. Step 2: Convert to fraction form
    31,730/47,225 = 47,225/x
  3. Step 3: Cross multiply
    31,730x = 47,225 × 47,225
  4. Step 4: Simplify right side
    31,730x = 2,230,200,625
  5. Step 5: Solve for x
    x = 2,230,200,625/31,730
  6. Step 6: Final answer
    x = 70,286.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.