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Finding the Third Proportional to 3,750.75 and 6,138.19

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Solution

The third proportional to 3,750.75 and 6,138.19 is: 10,045.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,750.75 : 6,138.19 = 6,138.19 : x
  2. Step 2: Convert to fraction form
    3,750.75/6,138.19 = 6,138.19/x
  3. Step 3: Cross multiply
    3,750.75x = 6,138.19 × 6,138.19
  4. Step 4: Simplify right side
    3,750.75x = 37,677,345.79
  5. Step 5: Solve for x
    x = 37,677,345.79/3,750.75
  6. Step 6: Final answer
    x = 10,045.28

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.