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Finding the Third Proportional to 91,743.75 and 202,111.25

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Solution

The third proportional to 91,743.75 and 202,111.25 is: 445,250.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,743.75 : 202,111.25 = 202,111.25 : x
  2. Step 2: Convert to fraction form
    91,743.75/202,111.25 = 202,111.25/x
  3. Step 3: Cross multiply
    91,743.75x = 202,111.25 × 202,111.25
  4. Step 4: Simplify right side
    91,743.75x = 40,848,957,376.56
  5. Step 5: Solve for x
    x = 40,848,957,376.56/91,743.75
  6. Step 6: Final answer
    x = 445,250.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.