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Finding the Third Proportional to 50.20 and 78.26

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Solution

The third proportional to 50.20 and 78.26 is: 121.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.20 : 78.26 = 78.26 : x
  2. Step 2: Convert to fraction form
    50.20/78.26 = 78.26/x
  3. Step 3: Cross multiply
    50.20x = 78.26 × 78.26
  4. Step 4: Simplify right side
    50.20x = 6,124.29
  5. Step 5: Solve for x
    x = 6,124.29/50.20
  6. Step 6: Final answer
    x = 121.99

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.