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Finding the Third Proportional to 10,446.75 and 21,919.50

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Solution

The third proportional to 10,446.75 and 21,919.50 is: 45,991.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,446.75 : 21,919.50 = 21,919.50 : x
  2. Step 2: Convert to fraction form
    10,446.75/21,919.50 = 21,919.50/x
  3. Step 3: Cross multiply
    10,446.75x = 21,919.50 × 21,919.50
  4. Step 4: Simplify right side
    10,446.75x = 480,464,480.25
  5. Step 5: Solve for x
    x = 480,464,480.25/10,446.75
  6. Step 6: Final answer
    x = 45,991.77

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.