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Finding the Third Proportional to 208.75 and 320.38

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Solution

The third proportional to 208.75 and 320.38 is: 491.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.75 : 320.38 = 320.38 : x
  2. Step 2: Convert to fraction form
    208.75/320.38 = 320.38/x
  3. Step 3: Cross multiply
    208.75x = 320.38 × 320.38
  4. Step 4: Simplify right side
    208.75x = 102,640.14
  5. Step 5: Solve for x
    x = 102,640.14/208.75
  6. Step 6: Final answer
    x = 491.69

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.