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Finding the Third Proportional to 390.60 and 836.62

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Solution

The third proportional to 390.60 and 836.62 is: 1,791.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.60 : 836.62 = 836.62 : x
  2. Step 2: Convert to fraction form
    390.60/836.62 = 836.62/x
  3. Step 3: Cross multiply
    390.60x = 836.62 × 836.62
  4. Step 4: Simplify right side
    390.60x = 699,929.14
  5. Step 5: Solve for x
    x = 699,929.14/390.60
  6. Step 6: Final answer
    x = 1,791.92

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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.