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Finding the Third Proportional to 38,217 and 78,135

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Solution

The third proportional to 38,217 and 78,135 is: 159,747.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,217 : 78,135 = 78,135 : x
  2. Step 2: Convert to fraction form
    38,217/78,135 = 78,135/x
  3. Step 3: Cross multiply
    38,217x = 78,135 × 78,135
  4. Step 4: Simplify right side
    38,217x = 6,105,078,225
  5. Step 5: Solve for x
    x = 6,105,078,225/38,217
  6. Step 6: Final answer
    x = 159,747.71

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.