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Finding the Third Proportional to 3,120.38 and 4,204.13

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Solution

The third proportional to 3,120.38 and 4,204.13 is: 5,664.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,120.38 : 4,204.13 = 4,204.13 : x
  2. Step 2: Convert to fraction form
    3,120.38/4,204.13 = 4,204.13/x
  3. Step 3: Cross multiply
    3,120.38x = 4,204.13 × 4,204.13
  4. Step 4: Simplify right side
    3,120.38x = 17,674,667.02
  5. Step 5: Solve for x
    x = 17,674,667.02/3,120.38
  6. Step 6: Final answer
    x = 5,664.28

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.