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Finding the Third Proportional to 3,728.53 and 8,139.66

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Solution

The third proportional to 3,728.53 and 8,139.66 is: 17,769.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.53 : 8,139.66 = 8,139.66 : x
  2. Step 2: Convert to fraction form
    3,728.53/8,139.66 = 8,139.66/x
  3. Step 3: Cross multiply
    3,728.53x = 8,139.66 × 8,139.66
  4. Step 4: Simplify right side
    3,728.53x = 66,254,003.87
  5. Step 5: Solve for x
    x = 66,254,003.87/3,728.53
  6. Step 6: Final answer
    x = 17,769.46

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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.