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Finding the Third Proportional to 230.91 and 320.77

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Solution

The third proportional to 230.91 and 320.77 is: 445.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.91 : 320.77 = 320.77 : x
  2. Step 2: Convert to fraction form
    230.91/320.77 = 320.77/x
  3. Step 3: Cross multiply
    230.91x = 320.77 × 320.77
  4. Step 4: Simplify right side
    230.91x = 102,890.59
  5. Step 5: Solve for x
    x = 102,890.59/230.91
  6. Step 6: Final answer
    x = 445.59

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.