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Finding the Third Proportional to 69,182 and 134,908

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Solution

The third proportional to 69,182 and 134,908 is: 263,076.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,182 : 134,908 = 134,908 : x
  2. Step 2: Convert to fraction form
    69,182/134,908 = 134,908/x
  3. Step 3: Cross multiply
    69,182x = 134,908 × 134,908
  4. Step 4: Simplify right side
    69,182x = 18,200,168,464
  5. Step 5: Solve for x
    x = 18,200,168,464/69,182
  6. Step 6: Final answer
    x = 263,076.65

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.