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Finding the Third Proportional to 104.47 and 228.39

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Solution

The third proportional to 104.47 and 228.39 is: 499.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.47 : 228.39 = 228.39 : x
  2. Step 2: Convert to fraction form
    104.47/228.39 = 228.39/x
  3. Step 3: Cross multiply
    104.47x = 228.39 × 228.39
  4. Step 4: Simplify right side
    104.47x = 52,163.17
  5. Step 5: Solve for x
    x = 52,163.17/104.47
  6. Step 6: Final answer
    x = 499.33

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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.