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Finding the Third Proportional to 12,971 and 20,267

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Solution

The third proportional to 12,971 and 20,267 is: 31,666.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,971 : 20,267 = 20,267 : x
  2. Step 2: Convert to fraction form
    12,971/20,267 = 20,267/x
  3. Step 3: Cross multiply
    12,971x = 20,267 × 20,267
  4. Step 4: Simplify right side
    12,971x = 410,751,289
  5. Step 5: Solve for x
    x = 410,751,289/12,971
  6. Step 6: Final answer
    x = 31,666.89

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.