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Finding the Third Proportional to 19,744 and 39,920

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Solution

The third proportional to 19,744 and 39,920 is: 80,713.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,744 : 39,920 = 39,920 : x
  2. Step 2: Convert to fraction form
    19,744/39,920 = 39,920/x
  3. Step 3: Cross multiply
    19,744x = 39,920 × 39,920
  4. Step 4: Simplify right side
    19,744x = 1,593,606,400
  5. Step 5: Solve for x
    x = 1,593,606,400/19,744
  6. Step 6: Final answer
    x = 80,713.45

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.