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Finding the Third Proportional to 395.11 and 839.35

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Solution

The third proportional to 395.11 and 839.35 is: 1,783.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.11 : 839.35 = 839.35 : x
  2. Step 2: Convert to fraction form
    395.11/839.35 = 839.35/x
  3. Step 3: Cross multiply
    395.11x = 839.35 × 839.35
  4. Step 4: Simplify right side
    395.11x = 704,502.85
  5. Step 5: Solve for x
    x = 704,502.85/395.11
  6. Step 6: Final answer
    x = 1,783.04

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.