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Finding the Third Proportional to 4.50 and 9.63

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Solution

The third proportional to 4.50 and 9.63 is: 20.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.50 : 9.63 = 9.63 : x
  2. Step 2: Convert to fraction form
    4.50/9.63 = 9.63/x
  3. Step 3: Cross multiply
    4.50x = 9.63 × 9.63
  4. Step 4: Simplify right side
    4.50x = 92.64
  5. Step 5: Solve for x
    x = 92.64/4.50
  6. Step 6: Final answer
    x = 20.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.