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Finding the Third Proportional to 7.37 and 10.78

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Solution

The third proportional to 7.37 and 10.78 is: 15.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.37 : 10.78 = 10.78 : x
  2. Step 2: Convert to fraction form
    7.37/10.78 = 10.78/x
  3. Step 3: Cross multiply
    7.37x = 10.78 × 10.78
  4. Step 4: Simplify right side
    7.37x = 116.21
  5. Step 5: Solve for x
    x = 116.21/7.37
  6. Step 6: Final answer
    x = 15.76

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.