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Finding the Third Proportional to 217.75 and 347.38

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Solution

The third proportional to 217.75 and 347.38 is: 554.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.75 : 347.38 = 347.38 : x
  2. Step 2: Convert to fraction form
    217.75/347.38 = 347.38/x
  3. Step 3: Cross multiply
    217.75x = 347.38 × 347.38
  4. Step 4: Simplify right side
    217.75x = 120,669.39
  5. Step 5: Solve for x
    x = 120,669.39/217.75
  6. Step 6: Final answer
    x = 554.16

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.