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Finding the Third Proportional to 137,976 and 210,924

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Solution

The third proportional to 137,976 and 210,924 is: 322,439.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,976 : 210,924 = 210,924 : x
  2. Step 2: Convert to fraction form
    137,976/210,924 = 210,924/x
  3. Step 3: Cross multiply
    137,976x = 210,924 × 210,924
  4. Step 4: Simplify right side
    137,976x = 44,488,933,776
  5. Step 5: Solve for x
    x = 44,488,933,776/137,976
  6. Step 6: Final answer
    x = 322,439.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.