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Finding the Third Proportional to 208.09 and 383.38

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Solution

The third proportional to 208.09 and 383.38 is: 706.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.09 : 383.38 = 383.38 : x
  2. Step 2: Convert to fraction form
    208.09/383.38 = 383.38/x
  3. Step 3: Cross multiply
    208.09x = 383.38 × 383.38
  4. Step 4: Simplify right side
    208.09x = 146,979.39
  5. Step 5: Solve for x
    x = 146,979.39/208.09
  6. Step 6: Final answer
    x = 706.33

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.