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Finding the Third Proportional to 36,972 and 81,132

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Solution

The third proportional to 36,972 and 81,132 is: 178,037.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,972 : 81,132 = 81,132 : x
  2. Step 2: Convert to fraction form
    36,972/81,132 = 81,132/x
  3. Step 3: Cross multiply
    36,972x = 81,132 × 81,132
  4. Step 4: Simplify right side
    36,972x = 6,582,401,424
  5. Step 5: Solve for x
    x = 6,582,401,424/36,972
  6. Step 6: Final answer
    x = 178,037.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.