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Finding the Third Proportional to 140,519 and 210,782

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Solution

The third proportional to 140,519 and 210,782 is: 316,178.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,519 : 210,782 = 210,782 : x
  2. Step 2: Convert to fraction form
    140,519/210,782 = 210,782/x
  3. Step 3: Cross multiply
    140,519x = 210,782 × 210,782
  4. Step 4: Simplify right side
    140,519x = 44,429,051,524
  5. Step 5: Solve for x
    x = 44,429,051,524/140,519
  6. Step 6: Final answer
    x = 316,178.25

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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.