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Finding the Third Proportional to 12.93 and 19.05

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Solution

The third proportional to 12.93 and 19.05 is: 28.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.93 : 19.05 = 19.05 : x
  2. Step 2: Convert to fraction form
    12.93/19.05 = 19.05/x
  3. Step 3: Cross multiply
    12.93x = 19.05 × 19.05
  4. Step 4: Simplify right side
    12.93x = 362.91
  5. Step 5: Solve for x
    x = 362.91/12.93
  6. Step 6: Final answer
    x = 28.06

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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.