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Finding the Third Proportional to 36,864 and 78,208

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Solution

The third proportional to 36,864 and 78,208 is: 165,920.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,864 : 78,208 = 78,208 : x
  2. Step 2: Convert to fraction form
    36,864/78,208 = 78,208/x
  3. Step 3: Cross multiply
    36,864x = 78,208 × 78,208
  4. Step 4: Simplify right side
    36,864x = 6,116,491,264
  5. Step 5: Solve for x
    x = 6,116,491,264/36,864
  6. Step 6: Final answer
    x = 165,920.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.