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Finding the Third Proportional to 3,742.03 and 8,100.42

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Solution

The third proportional to 3,742.03 and 8,100.42 is: 17,535.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.03 : 8,100.42 = 8,100.42 : x
  2. Step 2: Convert to fraction form
    3,742.03/8,100.42 = 8,100.42/x
  3. Step 3: Cross multiply
    3,742.03x = 8,100.42 × 8,100.42
  4. Step 4: Simplify right side
    3,742.03x = 65,616,834.55
  5. Step 5: Solve for x
    x = 65,616,834.55/3,742.03
  6. Step 6: Final answer
    x = 17,535.08

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.