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Finding the Third Proportional to 19.30 and 27.93

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Solution

The third proportional to 19.30 and 27.93 is: 40.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.30 : 27.93 = 27.93 : x
  2. Step 2: Convert to fraction form
    19.30/27.93 = 27.93/x
  3. Step 3: Cross multiply
    19.30x = 27.93 × 27.93
  4. Step 4: Simplify right side
    19.30x = 780.28
  5. Step 5: Solve for x
    x = 780.28/19.30
  6. Step 6: Final answer
    x = 40.43

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.