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Finding the Third Proportional to 3,729.66 and 8,125.03

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Solution

The third proportional to 3,729.66 and 8,125.03 is: 17,700.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.66 : 8,125.03 = 8,125.03 : x
  2. Step 2: Convert to fraction form
    3,729.66/8,125.03 = 8,125.03/x
  3. Step 3: Cross multiply
    3,729.66x = 8,125.03 × 8,125.03
  4. Step 4: Simplify right side
    3,729.66x = 66,016,132.81
  5. Step 5: Solve for x
    x = 66,016,132.81/3,729.66
  6. Step 6: Final answer
    x = 17,700.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.