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Finding the Third Proportional to 6,972 and 15,171

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Solution

The third proportional to 6,972 and 15,171 is: 33,011.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,972 : 15,171 = 15,171 : x
  2. Step 2: Convert to fraction form
    6,972/15,171 = 15,171/x
  3. Step 3: Cross multiply
    6,972x = 15,171 × 15,171
  4. Step 4: Simplify right side
    6,972x = 230,159,241
  5. Step 5: Solve for x
    x = 230,159,241/6,972
  6. Step 6: Final answer
    x = 33,011.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.