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Finding the Third Proportional to 161,867 and 253,922

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Solution

The third proportional to 161,867 and 253,922 is: 398,329.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,867 : 253,922 = 253,922 : x
  2. Step 2: Convert to fraction form
    161,867/253,922 = 253,922/x
  3. Step 3: Cross multiply
    161,867x = 253,922 × 253,922
  4. Step 4: Simplify right side
    161,867x = 64,476,382,084
  5. Step 5: Solve for x
    x = 64,476,382,084/161,867
  6. Step 6: Final answer
    x = 398,329.38

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.