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Finding the Third Proportional to 12,400 and 19,864

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Solution

The third proportional to 12,400 and 19,864 is: 31,820.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,400 : 19,864 = 19,864 : x
  2. Step 2: Convert to fraction form
    12,400/19,864 = 19,864/x
  3. Step 3: Cross multiply
    12,400x = 19,864 × 19,864
  4. Step 4: Simplify right side
    12,400x = 394,578,496
  5. Step 5: Solve for x
    x = 394,578,496/12,400
  6. Step 6: Final answer
    x = 31,820.85

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.