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Finding the Third Proportional to 19,672 and 38,330

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Solution

The third proportional to 19,672 and 38,330 is: 74,684.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,672 : 38,330 = 38,330 : x
  2. Step 2: Convert to fraction form
    19,672/38,330 = 38,330/x
  3. Step 3: Cross multiply
    19,672x = 38,330 × 38,330
  4. Step 4: Simplify right side
    19,672x = 1,469,188,900
  5. Step 5: Solve for x
    x = 1,469,188,900/19,672
  6. Step 6: Final answer
    x = 74,684.27

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.