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Finding the Third Proportional to 60,530 and 128,380

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Solution

The third proportional to 60,530 and 128,380 is: 272,285.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,530 : 128,380 = 128,380 : x
  2. Step 2: Convert to fraction form
    60,530/128,380 = 128,380/x
  3. Step 3: Cross multiply
    60,530x = 128,380 × 128,380
  4. Step 4: Simplify right side
    60,530x = 16,481,424,400
  5. Step 5: Solve for x
    x = 16,481,424,400/60,530
  6. Step 6: Final answer
    x = 272,285.22

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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.