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Finding the Third Proportional to 7.74 and 8.84

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Solution

The third proportional to 7.74 and 8.84 is: 10.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.74 : 8.84 = 8.84 : x
  2. Step 2: Convert to fraction form
    7.74/8.84 = 8.84/x
  3. Step 3: Cross multiply
    7.74x = 8.84 × 8.84
  4. Step 4: Simplify right side
    7.74x = 78.20
  5. Step 5: Solve for x
    x = 78.20/7.74
  6. Step 6: Final answer
    x = 10.10

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.