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Finding the Third Proportional to 154.31 and 330.52

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Solution

The third proportional to 154.31 and 330.52 is: 707.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.31 : 330.52 = 330.52 : x
  2. Step 2: Convert to fraction form
    154.31/330.52 = 330.52/x
  3. Step 3: Cross multiply
    154.31x = 330.52 × 330.52
  4. Step 4: Simplify right side
    154.31x = 109,240.58
  5. Step 5: Solve for x
    x = 109,240.58/154.31
  6. Step 6: Final answer
    x = 707.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.