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Finding the Third Proportional to 181,665 and 398,322

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Solution

The third proportional to 181,665 and 398,322 is: 873,368.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,665 : 398,322 = 398,322 : x
  2. Step 2: Convert to fraction form
    181,665/398,322 = 398,322/x
  3. Step 3: Cross multiply
    181,665x = 398,322 × 398,322
  4. Step 4: Simplify right side
    181,665x = 158,660,415,684
  5. Step 5: Solve for x
    x = 158,660,415,684/181,665
  6. Step 6: Final answer
    x = 873,368.10

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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.