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Finding the Third Proportional to 15,864 and 32,172

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Solution

The third proportional to 15,864 and 32,172 is: 65,244.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,864 : 32,172 = 32,172 : x
  2. Step 2: Convert to fraction form
    15,864/32,172 = 32,172/x
  3. Step 3: Cross multiply
    15,864x = 32,172 × 32,172
  4. Step 4: Simplify right side
    15,864x = 1,035,037,584
  5. Step 5: Solve for x
    x = 1,035,037,584/15,864
  6. Step 6: Final answer
    x = 65,244.43

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.