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Finding the Third Proportional to 120,098 and 179,715

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Solution

The third proportional to 120,098 and 179,715 is: 268,926.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,098 : 179,715 = 179,715 : x
  2. Step 2: Convert to fraction form
    120,098/179,715 = 179,715/x
  3. Step 3: Cross multiply
    120,098x = 179,715 × 179,715
  4. Step 4: Simplify right side
    120,098x = 32,297,481,225
  5. Step 5: Solve for x
    x = 32,297,481,225/120,098
  6. Step 6: Final answer
    x = 268,926.05

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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.