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Finding the Third Proportional to 50.63 and 73.33

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Solution

The third proportional to 50.63 and 73.33 is: 106.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.63 : 73.33 = 73.33 : x
  2. Step 2: Convert to fraction form
    50.63/73.33 = 73.33/x
  3. Step 3: Cross multiply
    50.63x = 73.33 × 73.33
  4. Step 4: Simplify right side
    50.63x = 5,376.87
  5. Step 5: Solve for x
    x = 5,376.87/50.63
  6. Step 6: Final answer
    x = 106.21

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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.