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Finding the Third Proportional to 15,743 and 32,215

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Solution

The third proportional to 15,743 and 32,215 is: 65,921.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,743 : 32,215 = 32,215 : x
  2. Step 2: Convert to fraction form
    15,743/32,215 = 32,215/x
  3. Step 3: Cross multiply
    15,743x = 32,215 × 32,215
  4. Step 4: Simplify right side
    15,743x = 1,037,806,225
  5. Step 5: Solve for x
    x = 1,037,806,225/15,743
  6. Step 6: Final answer
    x = 65,921.76

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.