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Finding the Third Proportional to 216.44 and 305.34

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Solution

The third proportional to 216.44 and 305.34 is: 430.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.44 : 305.34 = 305.34 : x
  2. Step 2: Convert to fraction form
    216.44/305.34 = 305.34/x
  3. Step 3: Cross multiply
    216.44x = 305.34 × 305.34
  4. Step 4: Simplify right side
    216.44x = 93,234.81
  5. Step 5: Solve for x
    x = 93,234.81/216.44
  6. Step 6: Final answer
    x = 430.77

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.