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Finding the Third Proportional to 30.73 and 67.36

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Solution

The third proportional to 30.73 and 67.36 is: 147.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.73 : 67.36 = 67.36 : x
  2. Step 2: Convert to fraction form
    30.73/67.36 = 67.36/x
  3. Step 3: Cross multiply
    30.73x = 67.36 × 67.36
  4. Step 4: Simplify right side
    30.73x = 4,537.29
  5. Step 5: Solve for x
    x = 4,537.29/30.73
  6. Step 6: Final answer
    x = 147.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.