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Finding the Third Proportional to 15,847 and 22,157

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Solution

The third proportional to 15,847 and 22,157 is: 30,979.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,847 : 22,157 = 22,157 : x
  2. Step 2: Convert to fraction form
    15,847/22,157 = 22,157/x
  3. Step 3: Cross multiply
    15,847x = 22,157 × 22,157
  4. Step 4: Simplify right side
    15,847x = 490,932,649
  5. Step 5: Solve for x
    x = 490,932,649/15,847
  6. Step 6: Final answer
    x = 30,979.53

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.