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Finding the Third Proportional to 64,917 and 143,923

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Solution

The third proportional to 64,917 and 143,923 is: 319,081.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,917 : 143,923 = 143,923 : x
  2. Step 2: Convert to fraction form
    64,917/143,923 = 143,923/x
  3. Step 3: Cross multiply
    64,917x = 143,923 × 143,923
  4. Step 4: Simplify right side
    64,917x = 20,713,829,929
  5. Step 5: Solve for x
    x = 20,713,829,929/64,917
  6. Step 6: Final answer
    x = 319,081.75

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.