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Finding the Third Proportional to 4.89 and 7.37

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Solution

The third proportional to 4.89 and 7.37 is: 11.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.89 : 7.37 = 7.37 : x
  2. Step 2: Convert to fraction form
    4.89/7.37 = 7.37/x
  3. Step 3: Cross multiply
    4.89x = 7.37 × 7.37
  4. Step 4: Simplify right side
    4.89x = 54.37
  5. Step 5: Solve for x
    x = 54.37/4.89
  6. Step 6: Final answer
    x = 11.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.