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Finding the Third Proportional to 114.77 and 235.64

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Solution

The third proportional to 114.77 and 235.64 is: 483.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.77 : 235.64 = 235.64 : x
  2. Step 2: Convert to fraction form
    114.77/235.64 = 235.64/x
  3. Step 3: Cross multiply
    114.77x = 235.64 × 235.64
  4. Step 4: Simplify right side
    114.77x = 55,527.88
  5. Step 5: Solve for x
    x = 55,527.88/114.77
  6. Step 6: Final answer
    x = 483.83

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.