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Finding the Third Proportional to 181,412 and 397,345

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Solution

The third proportional to 181,412 and 397,345 is: 870,301.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,412 : 397,345 = 397,345 : x
  2. Step 2: Convert to fraction form
    181,412/397,345 = 397,345/x
  3. Step 3: Cross multiply
    181,412x = 397,345 × 397,345
  4. Step 4: Simplify right side
    181,412x = 157,883,049,025
  5. Step 5: Solve for x
    x = 157,883,049,025/181,412
  6. Step 6: Final answer
    x = 870,301.02

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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.