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Finding the Third Proportional to 80,382 and 118,227

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Solution

The third proportional to 80,382 and 118,227 is: 173,889.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,382 : 118,227 = 118,227 : x
  2. Step 2: Convert to fraction form
    80,382/118,227 = 118,227/x
  3. Step 3: Cross multiply
    80,382x = 118,227 × 118,227
  4. Step 4: Simplify right side
    80,382x = 13,977,623,529
  5. Step 5: Solve for x
    x = 13,977,623,529/80,382
  6. Step 6: Final answer
    x = 173,889.97

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.