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Finding the Third Proportional to 75,162 and 115,569

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Solution

The third proportional to 75,162 and 115,569 is: 177,698.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,162 : 115,569 = 115,569 : x
  2. Step 2: Convert to fraction form
    75,162/115,569 = 115,569/x
  3. Step 3: Cross multiply
    75,162x = 115,569 × 115,569
  4. Step 4: Simplify right side
    75,162x = 13,356,193,761
  5. Step 5: Solve for x
    x = 13,356,193,761/75,162
  6. Step 6: Final answer
    x = 177,698.75

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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.