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Finding the Third Proportional to 122,880 and 180,288

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Solution

The third proportional to 122,880 and 180,288 is: 264,516.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,880 : 180,288 = 180,288 : x
  2. Step 2: Convert to fraction form
    122,880/180,288 = 180,288/x
  3. Step 3: Cross multiply
    122,880x = 180,288 × 180,288
  4. Step 4: Simplify right side
    122,880x = 32,503,762,944
  5. Step 5: Solve for x
    x = 32,503,762,944/122,880
  6. Step 6: Final answer
    x = 264,516.30

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.