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Finding the Third Proportional to 181,161 and 398,165.25

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Solution

The third proportional to 181,161 and 398,165.25 is: 875,108.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,161 : 398,165.25 = 398,165.25 : x
  2. Step 2: Convert to fraction form
    181,161/398,165.25 = 398,165.25/x
  3. Step 3: Cross multiply
    181,161x = 398,165.25 × 398,165.25
  4. Step 4: Simplify right side
    181,161x = 158,535,566,307.56
  5. Step 5: Solve for x
    x = 158,535,566,307.56/181,161
  6. Step 6: Final answer
    x = 875,108.70

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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.