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Finding the Third Proportional to 12,974 and 20,270

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Solution

The third proportional to 12,974 and 20,270 is: 31,668.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,974 : 20,270 = 20,270 : x
  2. Step 2: Convert to fraction form
    12,974/20,270 = 20,270/x
  3. Step 3: Cross multiply
    12,974x = 20,270 × 20,270
  4. Step 4: Simplify right side
    12,974x = 410,872,900
  5. Step 5: Solve for x
    x = 410,872,900/12,974
  6. Step 6: Final answer
    x = 31,668.95

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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.