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Finding the Third Proportional to 215.00 and 261.67

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Solution

The third proportional to 215.00 and 261.67 is: 318.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.00 : 261.67 = 261.67 : x
  2. Step 2: Convert to fraction form
    215.00/261.67 = 261.67/x
  3. Step 3: Cross multiply
    215.00x = 261.67 × 261.67
  4. Step 4: Simplify right side
    215.00x = 68,470.13
  5. Step 5: Solve for x
    x = 68,470.13/215.00
  6. Step 6: Final answer
    x = 318.47

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.