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Finding the Third Proportional to 50,719 and 76,088

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Solution

The third proportional to 50,719 and 76,088 is: 114,146.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,719 : 76,088 = 76,088 : x
  2. Step 2: Convert to fraction form
    50,719/76,088 = 76,088/x
  3. Step 3: Cross multiply
    50,719x = 76,088 × 76,088
  4. Step 4: Simplify right side
    50,719x = 5,789,383,744
  5. Step 5: Solve for x
    x = 5,789,383,744/50,719
  6. Step 6: Final answer
    x = 114,146.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.