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Finding the Third Proportional to 109,723 and 143,329

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Solution

The third proportional to 109,723 and 143,329 is: 187,227.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,723 : 143,329 = 143,329 : x
  2. Step 2: Convert to fraction form
    109,723/143,329 = 143,329/x
  3. Step 3: Cross multiply
    109,723x = 143,329 × 143,329
  4. Step 4: Simplify right side
    109,723x = 20,543,202,241
  5. Step 5: Solve for x
    x = 20,543,202,241/109,723
  6. Step 6: Final answer
    x = 187,227.86

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.