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Finding the Third Proportional to 81,474 and 119,295

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Solution

The third proportional to 81,474 and 119,295 is: 174,672.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,474 : 119,295 = 119,295 : x
  2. Step 2: Convert to fraction form
    81,474/119,295 = 119,295/x
  3. Step 3: Cross multiply
    81,474x = 119,295 × 119,295
  4. Step 4: Simplify right side
    81,474x = 14,231,297,025
  5. Step 5: Solve for x
    x = 14,231,297,025/81,474
  6. Step 6: Final answer
    x = 174,672.87

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.