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Finding the Third Proportional to 85,567 and 199,921

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Solution

The third proportional to 85,567 and 199,921 is: 467,100.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,567 : 199,921 = 199,921 : x
  2. Step 2: Convert to fraction form
    85,567/199,921 = 199,921/x
  3. Step 3: Cross multiply
    85,567x = 199,921 × 199,921
  4. Step 4: Simplify right side
    85,567x = 39,968,406,241
  5. Step 5: Solve for x
    x = 39,968,406,241/85,567
  6. Step 6: Final answer
    x = 467,100.71

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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.