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Finding the Third Proportional to 10,993.50 and 21,436.88

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Solution

The third proportional to 10,993.50 and 21,436.88 is: 41,801.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,993.50 : 21,436.88 = 21,436.88 : x
  2. Step 2: Convert to fraction form
    10,993.50/21,436.88 = 21,436.88/x
  3. Step 3: Cross multiply
    10,993.50x = 21,436.88 × 21,436.88
  4. Step 4: Simplify right side
    10,993.50x = 459,539,609.77
  5. Step 5: Solve for x
    x = 459,539,609.77/10,993.50
  6. Step 6: Final answer
    x = 41,801.03

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.