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Finding the Third Proportional to 181,149 and 397,290

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Solution

The third proportional to 181,149 and 397,290 is: 871,323.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,149 : 397,290 = 397,290 : x
  2. Step 2: Convert to fraction form
    181,149/397,290 = 397,290/x
  3. Step 3: Cross multiply
    181,149x = 397,290 × 397,290
  4. Step 4: Simplify right side
    181,149x = 157,839,344,100
  5. Step 5: Solve for x
    x = 157,839,344,100/181,149
  6. Step 6: Final answer
    x = 871,323.30

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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.