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Finding the Third Proportional to 38,788 and 79,208

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Solution

The third proportional to 38,788 and 79,208 is: 161,748.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,788 : 79,208 = 79,208 : x
  2. Step 2: Convert to fraction form
    38,788/79,208 = 79,208/x
  3. Step 3: Cross multiply
    38,788x = 79,208 × 79,208
  4. Step 4: Simplify right side
    38,788x = 6,273,907,264
  5. Step 5: Solve for x
    x = 6,273,907,264/38,788
  6. Step 6: Final answer
    x = 161,748.67

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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.