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Finding the Third Proportional to 10.73 and 19.43

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Solution

The third proportional to 10.73 and 19.43 is: 35.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.73 : 19.43 = 19.43 : x
  2. Step 2: Convert to fraction form
    10.73/19.43 = 19.43/x
  3. Step 3: Cross multiply
    10.73x = 19.43 × 19.43
  4. Step 4: Simplify right side
    10.73x = 377.63
  5. Step 5: Solve for x
    x = 377.63/10.73
  6. Step 6: Final answer
    x = 35.19

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.