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Finding the Third Proportional to 154.20 and 233.30

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Solution

The third proportional to 154.20 and 233.30 is: 352.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.20 : 233.30 = 233.30 : x
  2. Step 2: Convert to fraction form
    154.20/233.30 = 233.30/x
  3. Step 3: Cross multiply
    154.20x = 233.30 × 233.30
  4. Step 4: Simplify right side
    154.20x = 54,427.43
  5. Step 5: Solve for x
    x = 54,427.43/154.20
  6. Step 6: Final answer
    x = 352.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.