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Finding the Third Proportional to 140,067 and 210,493

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Solution

The third proportional to 140,067 and 210,493 is: 316,329.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,067 : 210,493 = 210,493 : x
  2. Step 2: Convert to fraction form
    140,067/210,493 = 210,493/x
  3. Step 3: Cross multiply
    140,067x = 210,493 × 210,493
  4. Step 4: Simplify right side
    140,067x = 44,307,303,049
  5. Step 5: Solve for x
    x = 44,307,303,049/140,067
  6. Step 6: Final answer
    x = 316,329.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.