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Finding the Third Proportional to 105 and 230.28

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Solution

The third proportional to 105 and 230.28 is: 505.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    105 : 230.28 = 230.28 : x
  2. Step 2: Convert to fraction form
    105/230.28 = 230.28/x
  3. Step 3: Cross multiply
    105x = 230.28 × 230.28
  4. Step 4: Simplify right side
    105x = 53,029.45
  5. Step 5: Solve for x
    x = 53,029.45/105
  6. Step 6: Final answer
    x = 505.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.