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Finding the Third Proportional to 19.93 and 31.50

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Solution

The third proportional to 19.93 and 31.50 is: 49.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.93 : 31.50 = 31.50 : x
  2. Step 2: Convert to fraction form
    19.93/31.50 = 31.50/x
  3. Step 3: Cross multiply
    19.93x = 31.50 × 31.50
  4. Step 4: Simplify right side
    19.93x = 992.39
  5. Step 5: Solve for x
    x = 992.39/19.93
  6. Step 6: Final answer
    x = 49.78

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.