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Finding the Third Proportional to 19.93 and 31.80

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Solution

The third proportional to 19.93 and 31.80 is: 50.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.93 : 31.80 = 31.80 : x
  2. Step 2: Convert to fraction form
    19.93/31.80 = 31.80/x
  3. Step 3: Cross multiply
    19.93x = 31.80 × 31.80
  4. Step 4: Simplify right side
    19.93x = 1,011.17
  5. Step 5: Solve for x
    x = 1,011.17/19.93
  6. Step 6: Final answer
    x = 50.73

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.