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Finding the Third Proportional to 181,141 and 397,273

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Solution

The third proportional to 181,141 and 397,273 is: 871,287.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,141 : 397,273 = 397,273 : x
  2. Step 2: Convert to fraction form
    181,141/397,273 = 397,273/x
  3. Step 3: Cross multiply
    181,141x = 397,273 × 397,273
  4. Step 4: Simplify right side
    181,141x = 157,825,836,529
  5. Step 5: Solve for x
    x = 157,825,836,529/181,141
  6. Step 6: Final answer
    x = 871,287.21

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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.