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Finding the Third Proportional to 13,981 and 21,896

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Solution

The third proportional to 13,981 and 21,896 is: 34,291.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,981 : 21,896 = 21,896 : x
  2. Step 2: Convert to fraction form
    13,981/21,896 = 21,896/x
  3. Step 3: Cross multiply
    13,981x = 21,896 × 21,896
  4. Step 4: Simplify right side
    13,981x = 479,434,816
  5. Step 5: Solve for x
    x = 479,434,816/13,981
  6. Step 6: Final answer
    x = 34,291.88

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.