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Finding the Third Proportional to 30.75 and 50.06

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Solution

The third proportional to 30.75 and 50.06 is: 81.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.75 : 50.06 = 50.06 : x
  2. Step 2: Convert to fraction form
    30.75/50.06 = 50.06/x
  3. Step 3: Cross multiply
    30.75x = 50.06 × 50.06
  4. Step 4: Simplify right side
    30.75x = 2,506.25
  5. Step 5: Solve for x
    x = 2,506.25/30.75
  6. Step 6: Final answer
    x = 81.50

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.