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Finding the Third Proportional to 91,743.75 and 200,971.50

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Solution

The third proportional to 91,743.75 and 200,971.50 is: 440,243.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,743.75 : 200,971.50 = 200,971.50 : x
  2. Step 2: Convert to fraction form
    91,743.75/200,971.50 = 200,971.50/x
  3. Step 3: Cross multiply
    91,743.75x = 200,971.50 × 200,971.50
  4. Step 4: Simplify right side
    91,743.75x = 40,389,543,812.25
  5. Step 5: Solve for x
    x = 40,389,543,812.25/91,743.75
  6. Step 6: Final answer
    x = 440,243.00

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.