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Finding the Third Proportional to 19.58 and 27.80

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Solution

The third proportional to 19.58 and 27.80 is: 39.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.58 : 27.80 = 27.80 : x
  2. Step 2: Convert to fraction form
    19.58/27.80 = 27.80/x
  3. Step 3: Cross multiply
    19.58x = 27.80 × 27.80
  4. Step 4: Simplify right side
    19.58x = 773.07
  5. Step 5: Solve for x
    x = 773.07/19.58
  6. Step 6: Final answer
    x = 39.49

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.