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Finding the Third Proportional to 4,191.75 and 8,920.13

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Solution

The third proportional to 4,191.75 and 8,920.13 is: 18,982.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,191.75 : 8,920.13 = 8,920.13 : x
  2. Step 2: Convert to fraction form
    4,191.75/8,920.13 = 8,920.13/x
  3. Step 3: Cross multiply
    4,191.75x = 8,920.13 × 8,920.13
  4. Step 4: Simplify right side
    4,191.75x = 79,568,630.02
  5. Step 5: Solve for x
    x = 79,568,630.02/4,191.75
  6. Step 6: Final answer
    x = 18,982.20

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.