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Finding the Third Proportional to 146.39 and 228.23

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Solution

The third proportional to 146.39 and 228.23 is: 355.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.39 : 228.23 = 228.23 : x
  2. Step 2: Convert to fraction form
    146.39/228.23 = 228.23/x
  3. Step 3: Cross multiply
    146.39x = 228.23 × 228.23
  4. Step 4: Simplify right side
    146.39x = 52,090.93
  5. Step 5: Solve for x
    x = 52,090.93/146.39
  6. Step 6: Final answer
    x = 355.84

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.