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Finding the Third Proportional to 9.31 and 19.14

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Solution

The third proportional to 9.31 and 19.14 is: 39.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.31 : 19.14 = 19.14 : x
  2. Step 2: Convert to fraction form
    9.31/19.14 = 19.14/x
  3. Step 3: Cross multiply
    9.31x = 19.14 × 19.14
  4. Step 4: Simplify right side
    9.31x = 366.36
  5. Step 5: Solve for x
    x = 366.36/9.31
  6. Step 6: Final answer
    x = 39.34

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.