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Finding the Third Proportional to 9.13 and 19.63

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Solution

The third proportional to 9.13 and 19.63 is: 42.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.13 : 19.63 = 19.63 : x
  2. Step 2: Convert to fraction form
    9.13/19.63 = 19.63/x
  3. Step 3: Cross multiply
    9.13x = 19.63 × 19.63
  4. Step 4: Simplify right side
    9.13x = 385.14
  5. Step 5: Solve for x
    x = 385.14/9.13
  6. Step 6: Final answer
    x = 42.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.