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Finding the Third Proportional to 20,744.25 and 30,981

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Solution

The third proportional to 20,744.25 and 30,981 is: 46,269.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,744.25 : 30,981 = 30,981 : x
  2. Step 2: Convert to fraction form
    20,744.25/30,981 = 30,981/x
  3. Step 3: Cross multiply
    20,744.25x = 30,981 × 30,981
  4. Step 4: Simplify right side
    20,744.25x = 959,822,361
  5. Step 5: Solve for x
    x = 959,822,361/20,744.25
  6. Step 6: Final answer
    x = 46,269.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.