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Finding the Third Proportional to 19,974 and 40,812

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Solution

The third proportional to 19,974 and 40,812 is: 83,389.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,974 : 40,812 = 40,812 : x
  2. Step 2: Convert to fraction form
    19,974/40,812 = 40,812/x
  3. Step 3: Cross multiply
    19,974x = 40,812 × 40,812
  4. Step 4: Simplify right side
    19,974x = 1,665,619,344
  5. Step 5: Solve for x
    x = 1,665,619,344/19,974
  6. Step 6: Final answer
    x = 83,389.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.