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Finding the Third Proportional to 91,301.25 and 199,209.75

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Solution

The third proportional to 91,301.25 and 199,209.75 is: 434,654.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,301.25 : 199,209.75 = 199,209.75 : x
  2. Step 2: Convert to fraction form
    91,301.25/199,209.75 = 199,209.75/x
  3. Step 3: Cross multiply
    91,301.25x = 199,209.75 × 199,209.75
  4. Step 4: Simplify right side
    91,301.25x = 39,684,524,495.06
  5. Step 5: Solve for x
    x = 39,684,524,495.06/91,301.25
  6. Step 6: Final answer
    x = 434,654.78

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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.