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Finding the Third Proportional to 1,750.78 and 3,767.06

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Solution

The third proportional to 1,750.78 and 3,767.06 is: 8,105.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,750.78 : 3,767.06 = 3,767.06 : x
  2. Step 2: Convert to fraction form
    1,750.78/3,767.06 = 3,767.06/x
  3. Step 3: Cross multiply
    1,750.78x = 3,767.06 × 3,767.06
  4. Step 4: Simplify right side
    1,750.78x = 14,190,759.88
  5. Step 5: Solve for x
    x = 14,190,759.88/1,750.78
  6. Step 6: Final answer
    x = 8,105.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.