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Finding the Third Proportional to 72.14 and 154.41

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Solution

The third proportional to 72.14 and 154.41 is: 330.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.14 : 154.41 = 154.41 : x
  2. Step 2: Convert to fraction form
    72.14/154.41 = 154.41/x
  3. Step 3: Cross multiply
    72.14x = 154.41 × 154.41
  4. Step 4: Simplify right side
    72.14x = 23,841.29
  5. Step 5: Solve for x
    x = 23,841.29/72.14
  6. Step 6: Final answer
    x = 330.48

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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.