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Finding the Third Proportional to 351.75 and 847.78

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Solution

The third proportional to 351.75 and 847.78 is: 2,043.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.75 : 847.78 = 847.78 : x
  2. Step 2: Convert to fraction form
    351.75/847.78 = 847.78/x
  3. Step 3: Cross multiply
    351.75x = 847.78 × 847.78
  4. Step 4: Simplify right side
    351.75x = 718,733.05
  5. Step 5: Solve for x
    x = 718,733.05/351.75
  6. Step 6: Final answer
    x = 2,043.31

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.