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Finding the Third Proportional to 19.59 and 42.56

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Solution

The third proportional to 19.59 and 42.56 is: 92.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.59 : 42.56 = 42.56 : x
  2. Step 2: Convert to fraction form
    19.59/42.56 = 42.56/x
  3. Step 3: Cross multiply
    19.59x = 42.56 × 42.56
  4. Step 4: Simplify right side
    19.59x = 1,811.57
  5. Step 5: Solve for x
    x = 1,811.57/19.59
  6. Step 6: Final answer
    x = 92.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.