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Finding the Third Proportional to 85,164 and 198,918

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Solution

The third proportional to 85,164 and 198,918 is: 464,613.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,164 : 198,918 = 198,918 : x
  2. Step 2: Convert to fraction form
    85,164/198,918 = 198,918/x
  3. Step 3: Cross multiply
    85,164x = 198,918 × 198,918
  4. Step 4: Simplify right side
    85,164x = 39,568,370,724
  5. Step 5: Solve for x
    x = 39,568,370,724/85,164
  6. Step 6: Final answer
    x = 464,613.81

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.