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Finding the Third Proportional to 9,439.03 and 20,191.78

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Solution

The third proportional to 9,439.03 and 20,191.78 is: 43,193.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,439.03 : 20,191.78 = 20,191.78 : x
  2. Step 2: Convert to fraction form
    9,439.03/20,191.78 = 20,191.78/x
  3. Step 3: Cross multiply
    9,439.03x = 20,191.78 × 20,191.78
  4. Step 4: Simplify right side
    9,439.03x = 407,708,030.05
  5. Step 5: Solve for x
    x = 407,708,030.05/9,439.03
  6. Step 6: Final answer
    x = 43,193.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.