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Finding the Third Proportional to 80,816 and 176,318

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Solution

The third proportional to 80,816 and 176,318 is: 384,676.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,816 : 176,318 = 176,318 : x
  2. Step 2: Convert to fraction form
    80,816/176,318 = 176,318/x
  3. Step 3: Cross multiply
    80,816x = 176,318 × 176,318
  4. Step 4: Simplify right side
    80,816x = 31,088,037,124
  5. Step 5: Solve for x
    x = 31,088,037,124/80,816
  6. Step 6: Final answer
    x = 384,676.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.