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Finding the Third Proportional to 181,505 and 398,731

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Solution

The third proportional to 181,505 and 398,731 is: 875,934.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,505 : 398,731 = 398,731 : x
  2. Step 2: Convert to fraction form
    181,505/398,731 = 398,731/x
  3. Step 3: Cross multiply
    181,505x = 398,731 × 398,731
  4. Step 4: Simplify right side
    181,505x = 158,986,410,361
  5. Step 5: Solve for x
    x = 158,986,410,361/181,505
  6. Step 6: Final answer
    x = 875,934.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.