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Finding the Third Proportional to 11,056.50 and 22,378.78

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Solution

The third proportional to 11,056.50 and 22,378.78 is: 45,295.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,056.50 : 22,378.78 = 22,378.78 : x
  2. Step 2: Convert to fraction form
    11,056.50/22,378.78 = 22,378.78/x
  3. Step 3: Cross multiply
    11,056.50x = 22,378.78 × 22,378.78
  4. Step 4: Simplify right side
    11,056.50x = 500,809,850.24
  5. Step 5: Solve for x
    x = 500,809,850.24/11,056.50
  6. Step 6: Final answer
    x = 45,295.51

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.