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Finding the Third Proportional to 20,742 and 28,521

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Solution

The third proportional to 20,742 and 28,521 is: 39,217.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,742 : 28,521 = 28,521 : x
  2. Step 2: Convert to fraction form
    20,742/28,521 = 28,521/x
  3. Step 3: Cross multiply
    20,742x = 28,521 × 28,521
  4. Step 4: Simplify right side
    20,742x = 813,447,441
  5. Step 5: Solve for x
    x = 813,447,441/20,742
  6. Step 6: Final answer
    x = 39,217.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.