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Finding the Third Proportional to 80,462 and 120,153

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Solution

The third proportional to 80,462 and 120,153 is: 179,423.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,462 : 120,153 = 120,153 : x
  2. Step 2: Convert to fraction form
    80,462/120,153 = 120,153/x
  3. Step 3: Cross multiply
    80,462x = 120,153 × 120,153
  4. Step 4: Simplify right side
    80,462x = 14,436,743,409
  5. Step 5: Solve for x
    x = 14,436,743,409/80,462
  6. Step 6: Final answer
    x = 179,423.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.