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Finding the Third Proportional to 30.13 and 50.50

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Solution

The third proportional to 30.13 and 50.50 is: 84.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.13 : 50.50 = 50.50 : x
  2. Step 2: Convert to fraction form
    30.13/50.50 = 50.50/x
  3. Step 3: Cross multiply
    30.13x = 50.50 × 50.50
  4. Step 4: Simplify right side
    30.13x = 2,550.25
  5. Step 5: Solve for x
    x = 2,550.25/30.13
  6. Step 6: Final answer
    x = 84.66

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.