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Finding the Third Proportional to 31,500 and 47,907

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Solution

The third proportional to 31,500 and 47,907 is: 72,859.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,500 : 47,907 = 47,907 : x
  2. Step 2: Convert to fraction form
    31,500/47,907 = 47,907/x
  3. Step 3: Cross multiply
    31,500x = 47,907 × 47,907
  4. Step 4: Simplify right side
    31,500x = 2,295,080,649
  5. Step 5: Solve for x
    x = 2,295,080,649/31,500
  6. Step 6: Final answer
    x = 72,859.70

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.