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Finding the Third Proportional to 80,958 and 120,605

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Solution

The third proportional to 80,958 and 120,605 is: 179,668.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,958 : 120,605 = 120,605 : x
  2. Step 2: Convert to fraction form
    80,958/120,605 = 120,605/x
  3. Step 3: Cross multiply
    80,958x = 120,605 × 120,605
  4. Step 4: Simplify right side
    80,958x = 14,545,566,025
  5. Step 5: Solve for x
    x = 14,545,566,025/80,958
  6. Step 6: Final answer
    x = 179,668.05

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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.