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Finding the Third Proportional to 133,609.50 and 199,766.25

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Solution

The third proportional to 133,609.50 and 199,766.25 is: 298,680.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,609.50 : 199,766.25 = 199,766.25 : x
  2. Step 2: Convert to fraction form
    133,609.50/199,766.25 = 199,766.25/x
  3. Step 3: Cross multiply
    133,609.50x = 199,766.25 × 199,766.25
  4. Step 4: Simplify right side
    133,609.50x = 39,906,554,639.06
  5. Step 5: Solve for x
    x = 39,906,554,639.06/133,609.50
  6. Step 6: Final answer
    x = 298,680.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.