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Finding the Third Proportional to 33,772 and 73,376

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Solution

The third proportional to 33,772 and 73,376 is: 159,423.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,772 : 73,376 = 73,376 : x
  2. Step 2: Convert to fraction form
    33,772/73,376 = 73,376/x
  3. Step 3: Cross multiply
    33,772x = 73,376 × 73,376
  4. Step 4: Simplify right side
    33,772x = 5,384,037,376
  5. Step 5: Solve for x
    x = 5,384,037,376/33,772
  6. Step 6: Final answer
    x = 159,423.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.