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Finding the Third Proportional to 74.67 and 106.73

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Solution

The third proportional to 74.67 and 106.73 is: 152.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.67 : 106.73 = 106.73 : x
  2. Step 2: Convert to fraction form
    74.67/106.73 = 106.73/x
  3. Step 3: Cross multiply
    74.67x = 106.73 × 106.73
  4. Step 4: Simplify right side
    74.67x = 11,392.23
  5. Step 5: Solve for x
    x = 11,392.23/74.67
  6. Step 6: Final answer
    x = 152.56

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.