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Finding the Third Proportional to 7.63 and 9.90

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Solution

The third proportional to 7.63 and 9.90 is: 12.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.63 : 9.90 = 9.90 : x
  2. Step 2: Convert to fraction form
    7.63/9.90 = 9.90/x
  3. Step 3: Cross multiply
    7.63x = 9.90 × 9.90
  4. Step 4: Simplify right side
    7.63x = 98.03
  5. Step 5: Solve for x
    x = 98.03/7.63
  6. Step 6: Final answer
    x = 12.84

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.