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Finding the Third Proportional to 12.98 and 19.09

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Solution

The third proportional to 12.98 and 19.09 is: 28.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.98 : 19.09 = 19.09 : x
  2. Step 2: Convert to fraction form
    12.98/19.09 = 19.09/x
  3. Step 3: Cross multiply
    12.98x = 19.09 × 19.09
  4. Step 4: Simplify right side
    12.98x = 364.52
  5. Step 5: Solve for x
    x = 364.52/12.98
  6. Step 6: Final answer
    x = 28.09

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.