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Finding the Third Proportional to 181,165.50 and 398,187

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Solution

The third proportional to 181,165.50 and 398,187 is: 875,182.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,165.50 : 398,187 = 398,187 : x
  2. Step 2: Convert to fraction form
    181,165.50/398,187 = 398,187/x
  3. Step 3: Cross multiply
    181,165.50x = 398,187 × 398,187
  4. Step 4: Simplify right side
    181,165.50x = 158,552,886,969
  5. Step 5: Solve for x
    x = 158,552,886,969/181,165.50
  6. Step 6: Final answer
    x = 875,182.56

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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.