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Finding the Third Proportional to 20,481 and 28,974

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Solution

The third proportional to 20,481 and 28,974 is: 40,988.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,481 : 28,974 = 28,974 : x
  2. Step 2: Convert to fraction form
    20,481/28,974 = 28,974/x
  3. Step 3: Cross multiply
    20,481x = 28,974 × 28,974
  4. Step 4: Simplify right side
    20,481x = 839,492,676
  5. Step 5: Solve for x
    x = 839,492,676/20,481
  6. Step 6: Final answer
    x = 40,988.85

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.