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Finding the Third Proportional to 91,099.50 and 200,133

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Solution

The third proportional to 91,099.50 and 200,133 is: 439,664.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,099.50 : 200,133 = 200,133 : x
  2. Step 2: Convert to fraction form
    91,099.50/200,133 = 200,133/x
  3. Step 3: Cross multiply
    91,099.50x = 200,133 × 200,133
  4. Step 4: Simplify right side
    91,099.50x = 40,053,217,689
  5. Step 5: Solve for x
    x = 40,053,217,689/91,099.50
  6. Step 6: Final answer
    x = 439,664.52

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