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Finding the Third Proportional to 60,530 and 128,269

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Solution

The third proportional to 60,530 and 128,269 is: 271,814.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,530 : 128,269 = 128,269 : x
  2. Step 2: Convert to fraction form
    60,530/128,269 = 128,269/x
  3. Step 3: Cross multiply
    60,530x = 128,269 × 128,269
  4. Step 4: Simplify right side
    60,530x = 16,452,936,361
  5. Step 5: Solve for x
    x = 16,452,936,361/60,530
  6. Step 6: Final answer
    x = 271,814.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.