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Finding the Third Proportional to 120,339 and 180,252

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Solution

The third proportional to 120,339 and 180,252 is: 269,993.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,339 : 180,252 = 180,252 : x
  2. Step 2: Convert to fraction form
    120,339/180,252 = 180,252/x
  3. Step 3: Cross multiply
    120,339x = 180,252 × 180,252
  4. Step 4: Simplify right side
    120,339x = 32,490,783,504
  5. Step 5: Solve for x
    x = 32,490,783,504/120,339
  6. Step 6: Final answer
    x = 269,993.80

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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.