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Finding the Third Proportional to 20,149 and 38,315

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Solution

The third proportional to 20,149 and 38,315 is: 72,859.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,149 : 38,315 = 38,315 : x
  2. Step 2: Convert to fraction form
    20,149/38,315 = 38,315/x
  3. Step 3: Cross multiply
    20,149x = 38,315 × 38,315
  4. Step 4: Simplify right side
    20,149x = 1,468,039,225
  5. Step 5: Solve for x
    x = 1,468,039,225/20,149
  6. Step 6: Final answer
    x = 72,859.16

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.