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Finding the Third Proportional to 117.39 and 228.45

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Solution

The third proportional to 117.39 and 228.45 is: 444.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.39 : 228.45 = 228.45 : x
  2. Step 2: Convert to fraction form
    117.39/228.45 = 228.45/x
  3. Step 3: Cross multiply
    117.39x = 228.45 × 228.45
  4. Step 4: Simplify right side
    117.39x = 52,187.26
  5. Step 5: Solve for x
    x = 52,187.26/117.39
  6. Step 6: Final answer
    x = 444.58

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.