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Finding the Third Proportional to 103.50 and 217.62

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Solution

The third proportional to 103.50 and 217.62 is: 457.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.50 : 217.62 = 217.62 : x
  2. Step 2: Convert to fraction form
    103.50/217.62 = 217.62/x
  3. Step 3: Cross multiply
    103.50x = 217.62 × 217.62
  4. Step 4: Simplify right side
    103.50x = 47,357.24
  5. Step 5: Solve for x
    x = 47,357.24/103.50
  6. Step 6: Final answer
    x = 457.56

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.