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Finding the Third Proportional to 161,868 and 253,923

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Solution

The third proportional to 161,868 and 253,923 is: 398,330.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,868 : 253,923 = 253,923 : x
  2. Step 2: Convert to fraction form
    161,868/253,923 = 253,923/x
  3. Step 3: Cross multiply
    161,868x = 253,923 × 253,923
  4. Step 4: Simplify right side
    161,868x = 64,476,889,929
  5. Step 5: Solve for x
    x = 64,476,889,929/161,868
  6. Step 6: Final answer
    x = 398,330.06

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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.