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Finding the Third Proportional to 7,171 and 15,212

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Solution

The third proportional to 7,171 and 15,212 is: 32,269.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,171 : 15,212 = 15,212 : x
  2. Step 2: Convert to fraction form
    7,171/15,212 = 15,212/x
  3. Step 3: Cross multiply
    7,171x = 15,212 × 15,212
  4. Step 4: Simplify right side
    7,171x = 231,404,944
  5. Step 5: Solve for x
    x = 231,404,944/7,171
  6. Step 6: Final answer
    x = 32,269.55

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.