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Finding the Third Proportional to 109.83 and 230.77

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Solution

The third proportional to 109.83 and 230.77 is: 484.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.83 : 230.77 = 230.77 : x
  2. Step 2: Convert to fraction form
    109.83/230.77 = 230.77/x
  3. Step 3: Cross multiply
    109.83x = 230.77 × 230.77
  4. Step 4: Simplify right side
    109.83x = 53,252.77
  5. Step 5: Solve for x
    x = 53,252.77/109.83
  6. Step 6: Final answer
    x = 484.87

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.