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Finding the Third Proportional to 50.72 and 78.36

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Solution

The third proportional to 50.72 and 78.36 is: 121.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.72 : 78.36 = 78.36 : x
  2. Step 2: Convert to fraction form
    50.72/78.36 = 78.36/x
  3. Step 3: Cross multiply
    50.72x = 78.36 × 78.36
  4. Step 4: Simplify right side
    50.72x = 6,139.51
  5. Step 5: Solve for x
    x = 6,139.51/50.72
  6. Step 6: Final answer
    x = 121.04

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.