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Finding the Third Proportional to 217.13 and 296.63

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Solution

The third proportional to 217.13 and 296.63 is: 405.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.13 : 296.63 = 296.63 : x
  2. Step 2: Convert to fraction form
    217.13/296.63 = 296.63/x
  3. Step 3: Cross multiply
    217.13x = 296.63 × 296.63
  4. Step 4: Simplify right side
    217.13x = 87,986.39
  5. Step 5: Solve for x
    x = 87,986.39/217.13
  6. Step 6: Final answer
    x = 405.23

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.