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Finding the Third Proportional to 18,974 and 39,942

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Solution

The third proportional to 18,974 and 39,942 is: 84,081.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,974 : 39,942 = 39,942 : x
  2. Step 2: Convert to fraction form
    18,974/39,942 = 39,942/x
  3. Step 3: Cross multiply
    18,974x = 39,942 × 39,942
  4. Step 4: Simplify right side
    18,974x = 1,595,363,364
  5. Step 5: Solve for x
    x = 1,595,363,364/18,974
  6. Step 6: Final answer
    x = 84,081.55

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.