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Finding the Third Proportional to 36,866 and 78,212

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Solution

The third proportional to 36,866 and 78,212 is: 165,928.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,866 : 78,212 = 78,212 : x
  2. Step 2: Convert to fraction form
    36,866/78,212 = 78,212/x
  3. Step 3: Cross multiply
    36,866x = 78,212 × 78,212
  4. Step 4: Simplify right side
    36,866x = 6,117,116,944
  5. Step 5: Solve for x
    x = 6,117,116,944/36,866
  6. Step 6: Final answer
    x = 165,928.41

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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.