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Finding the Third Proportional to 202.69 and 398.81

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Solution

The third proportional to 202.69 and 398.81 is: 784.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.69 : 398.81 = 398.81 : x
  2. Step 2: Convert to fraction form
    202.69/398.81 = 398.81/x
  3. Step 3: Cross multiply
    202.69x = 398.81 × 398.81
  4. Step 4: Simplify right side
    202.69x = 159,051.41
  5. Step 5: Solve for x
    x = 159,051.41/202.69
  6. Step 6: Final answer
    x = 784.71

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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.