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Finding the Third Proportional to 55,760 and 85,119

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Solution

The third proportional to 55,760 and 85,119 is: 129,936.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,760 : 85,119 = 85,119 : x
  2. Step 2: Convert to fraction form
    55,760/85,119 = 85,119/x
  3. Step 3: Cross multiply
    55,760x = 85,119 × 85,119
  4. Step 4: Simplify right side
    55,760x = 7,245,244,161
  5. Step 5: Solve for x
    x = 7,245,244,161/55,760
  6. Step 6: Final answer
    x = 129,936.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.