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Finding the Third Proportional to 3,729.66 and 6,190.31

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Solution

The third proportional to 3,729.66 and 6,190.31 is: 10,274.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.66 : 6,190.31 = 6,190.31 : x
  2. Step 2: Convert to fraction form
    3,729.66/6,190.31 = 6,190.31/x
  3. Step 3: Cross multiply
    3,729.66x = 6,190.31 × 6,190.31
  4. Step 4: Simplify right side
    3,729.66x = 38,319,968.85
  5. Step 5: Solve for x
    x = 38,319,968.85/3,729.66
  6. Step 6: Final answer
    x = 10,274.40

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.