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Finding the Third Proportional to 390.66 and 835.97

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Solution

The third proportional to 390.66 and 835.97 is: 1,788.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.66 : 835.97 = 835.97 : x
  2. Step 2: Convert to fraction form
    390.66/835.97 = 835.97/x
  3. Step 3: Cross multiply
    390.66x = 835.97 × 835.97
  4. Step 4: Simplify right side
    390.66x = 698,843.75
  5. Step 5: Solve for x
    x = 698,843.75/390.66
  6. Step 6: Final answer
    x = 1,788.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.