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Finding the Third Proportional to 74.88 and 106

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Solution

The third proportional to 74.88 and 106 is: 150.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.88 : 106 = 106 : x
  2. Step 2: Convert to fraction form
    74.88/106 = 106/x
  3. Step 3: Cross multiply
    74.88x = 106 × 106
  4. Step 4: Simplify right side
    74.88x = 11,236
  5. Step 5: Solve for x
    x = 11,236/74.88
  6. Step 6: Final answer
    x = 150.06

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.