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Finding the Third Proportional to 92,405.50 and 199,022

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Solution

The third proportional to 92,405.50 and 199,022 is: 428,651.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,405.50 : 199,022 = 199,022 : x
  2. Step 2: Convert to fraction form
    92,405.50/199,022 = 199,022/x
  3. Step 3: Cross multiply
    92,405.50x = 199,022 × 199,022
  4. Step 4: Simplify right side
    92,405.50x = 39,609,756,484
  5. Step 5: Solve for x
    x = 39,609,756,484/92,405.50
  6. Step 6: Final answer
    x = 428,651.50

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.