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Finding the Third Proportional to 215.16 and 329.16

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Solution

The third proportional to 215.16 and 329.16 is: 503.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.16 : 329.16 = 329.16 : x
  2. Step 2: Convert to fraction form
    215.16/329.16 = 329.16/x
  3. Step 3: Cross multiply
    215.16x = 329.16 × 329.16
  4. Step 4: Simplify right side
    215.16x = 108,343.84
  5. Step 5: Solve for x
    x = 108,343.84/215.16
  6. Step 6: Final answer
    x = 503.56

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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.