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Finding the Third Proportional to 181,698 and 398,016

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Solution

The third proportional to 181,698 and 398,016 is: 871,868.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,698 : 398,016 = 398,016 : x
  2. Step 2: Convert to fraction form
    181,698/398,016 = 398,016/x
  3. Step 3: Cross multiply
    181,698x = 398,016 × 398,016
  4. Step 4: Simplify right side
    181,698x = 158,416,736,256
  5. Step 5: Solve for x
    x = 158,416,736,256/181,698
  6. Step 6: Final answer
    x = 871,868.35

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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.