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Finding the Third Proportional to 150.12 and 228.20

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Solution

The third proportional to 150.12 and 228.20 is: 346.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.12 : 228.20 = 228.20 : x
  2. Step 2: Convert to fraction form
    150.12/228.20 = 228.20/x
  3. Step 3: Cross multiply
    150.12x = 228.20 × 228.20
  4. Step 4: Simplify right side
    150.12x = 52,074.88
  5. Step 5: Solve for x
    x = 52,074.88/150.12
  6. Step 6: Final answer
    x = 346.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.