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Finding the Third Proportional to 3,759.56 and 8,133.94

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Solution

The third proportional to 3,759.56 and 8,133.94 is: 17,598.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,759.56 : 8,133.94 = 8,133.94 : x
  2. Step 2: Convert to fraction form
    3,759.56/8,133.94 = 8,133.94/x
  3. Step 3: Cross multiply
    3,759.56x = 8,133.94 × 8,133.94
  4. Step 4: Simplify right side
    3,759.56x = 66,160,939.25
  5. Step 5: Solve for x
    x = 66,160,939.25/3,759.56
  6. Step 6: Final answer
    x = 17,598.04

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Why These Related Problems?

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