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Finding the Third Proportional to 12.17 and 19.40

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Solution

The third proportional to 12.17 and 19.40 is: 30.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.17 : 19.40 = 19.40 : x
  2. Step 2: Convert to fraction form
    12.17/19.40 = 19.40/x
  3. Step 3: Cross multiply
    12.17x = 19.40 × 19.40
  4. Step 4: Simplify right side
    12.17x = 376.52
  5. Step 5: Solve for x
    x = 376.52/12.17
  6. Step 6: Final answer
    x = 30.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.