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Finding the Third Proportional to 115.07 and 229.82

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Solution

The third proportional to 115.07 and 229.82 is: 459.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.07 : 229.82 = 229.82 : x
  2. Step 2: Convert to fraction form
    115.07/229.82 = 229.82/x
  3. Step 3: Cross multiply
    115.07x = 229.82 × 229.82
  4. Step 4: Simplify right side
    115.07x = 52,815.58
  5. Step 5: Solve for x
    x = 52,815.58/115.07
  6. Step 6: Final answer
    x = 459.00

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.