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Finding the Third Proportional to 91,455 and 199,667

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Solution

The third proportional to 91,455 and 199,667 is: 435,918.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,455 : 199,667 = 199,667 : x
  2. Step 2: Convert to fraction form
    91,455/199,667 = 199,667/x
  3. Step 3: Cross multiply
    91,455x = 199,667 × 199,667
  4. Step 4: Simplify right side
    91,455x = 39,866,910,889
  5. Step 5: Solve for x
    x = 39,866,910,889/91,455
  6. Step 6: Final answer
    x = 435,918.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.