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Finding the Third Proportional to 19,874 and 43,389

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Solution

The third proportional to 19,874 and 43,389 is: 94,727.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,874 : 43,389 = 43,389 : x
  2. Step 2: Convert to fraction form
    19,874/43,389 = 43,389/x
  3. Step 3: Cross multiply
    19,874x = 43,389 × 43,389
  4. Step 4: Simplify right side
    19,874x = 1,882,605,321
  5. Step 5: Solve for x
    x = 1,882,605,321/19,874
  6. Step 6: Final answer
    x = 94,727.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.