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Finding the Third Proportional to 203.06 and 400.69

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Solution

The third proportional to 203.06 and 400.69 is: 790.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.06 : 400.69 = 400.69 : x
  2. Step 2: Convert to fraction form
    203.06/400.69 = 400.69/x
  3. Step 3: Cross multiply
    203.06x = 400.69 × 400.69
  4. Step 4: Simplify right side
    203.06x = 160,550.47
  5. Step 5: Solve for x
    x = 160,550.47/203.06
  6. Step 6: Final answer
    x = 790.65

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.