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Finding the Third Proportional to 50.07 and 77.99

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Solution

The third proportional to 50.07 and 77.99 is: 121.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.07 : 77.99 = 77.99 : x
  2. Step 2: Convert to fraction form
    50.07/77.99 = 77.99/x
  3. Step 3: Cross multiply
    50.07x = 77.99 × 77.99
  4. Step 4: Simplify right side
    50.07x = 6,083.09
  5. Step 5: Solve for x
    x = 6,083.09/50.07
  6. Step 6: Final answer
    x = 121.49

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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.