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Finding the Third Proportional to 422,476.25 and 911,311.75

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Solution

The third proportional to 422,476.25 and 911,311.75 is: 1,965,765.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,476.25 : 911,311.75 = 911,311.75 : x
  2. Step 2: Convert to fraction form
    422,476.25/911,311.75 = 911,311.75/x
  3. Step 3: Cross multiply
    422,476.25x = 911,311.75 × 911,311.75
  4. Step 4: Simplify right side
    422,476.25x = 830,489,105,688.06
  5. Step 5: Solve for x
    x = 830,489,105,688.06/422,476.25
  6. Step 6: Final answer
    x = 1,965,765.19

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.