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Finding the Third Proportional to 19,981 and 43,719

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Solution

The third proportional to 19,981 and 43,719 is: 95,658.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,981 : 43,719 = 43,719 : x
  2. Step 2: Convert to fraction form
    19,981/43,719 = 43,719/x
  3. Step 3: Cross multiply
    19,981x = 43,719 × 43,719
  4. Step 4: Simplify right side
    19,981x = 1,911,350,961
  5. Step 5: Solve for x
    x = 1,911,350,961/19,981
  6. Step 6: Final answer
    x = 95,658.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.