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Finding the Third Proportional to 117.23 and 228.21

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Solution

The third proportional to 117.23 and 228.21 is: 444.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.23 : 228.21 = 228.21 : x
  2. Step 2: Convert to fraction form
    117.23/228.21 = 228.21/x
  3. Step 3: Cross multiply
    117.23x = 228.21 × 228.21
  4. Step 4: Simplify right side
    117.23x = 52,080.23
  5. Step 5: Solve for x
    x = 52,080.23/117.23
  6. Step 6: Final answer
    x = 444.24

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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.