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Finding the Third Proportional to 120,318 and 180,045

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Solution

The third proportional to 120,318 and 180,045 is: 269,421.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,318 : 180,045 = 180,045 : x
  2. Step 2: Convert to fraction form
    120,318/180,045 = 180,045/x
  3. Step 3: Cross multiply
    120,318x = 180,045 × 180,045
  4. Step 4: Simplify right side
    120,318x = 32,416,202,025
  5. Step 5: Solve for x
    x = 32,416,202,025/120,318
  6. Step 6: Final answer
    x = 269,421.05

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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.