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Finding the Third Proportional to 31,707 and 47,685

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Solution

The third proportional to 31,707 and 47,685 is: 71,714.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,707 : 47,685 = 47,685 : x
  2. Step 2: Convert to fraction form
    31,707/47,685 = 47,685/x
  3. Step 3: Cross multiply
    31,707x = 47,685 × 47,685
  4. Step 4: Simplify right side
    31,707x = 2,273,859,225
  5. Step 5: Solve for x
    x = 2,273,859,225/31,707
  6. Step 6: Final answer
    x = 71,714.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.