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Finding the Third Proportional to 50.88 and 73.75

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Solution

The third proportional to 50.88 and 73.75 is: 106.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.88 : 73.75 = 73.75 : x
  2. Step 2: Convert to fraction form
    50.88/73.75 = 73.75/x
  3. Step 3: Cross multiply
    50.88x = 73.75 × 73.75
  4. Step 4: Simplify right side
    50.88x = 5,439.06
  5. Step 5: Solve for x
    x = 5,439.06/50.88
  6. Step 6: Final answer
    x = 106.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.