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Finding the Third Proportional to 31.56 and 50.19

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Solution

The third proportional to 31.56 and 50.19 is: 79.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.56 : 50.19 = 50.19 : x
  2. Step 2: Convert to fraction form
    31.56/50.19 = 50.19/x
  3. Step 3: Cross multiply
    31.56x = 50.19 × 50.19
  4. Step 4: Simplify right side
    31.56x = 2,518.79
  5. Step 5: Solve for x
    x = 2,518.79/31.56
  6. Step 6: Final answer
    x = 79.80

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.