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Finding the Third Proportional to 60,105 and 128,253

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Solution

The third proportional to 60,105 and 128,253 is: 273,668.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,105 : 128,253 = 128,253 : x
  2. Step 2: Convert to fraction form
    60,105/128,253 = 128,253/x
  3. Step 3: Cross multiply
    60,105x = 128,253 × 128,253
  4. Step 4: Simplify right side
    60,105x = 16,448,832,009
  5. Step 5: Solve for x
    x = 16,448,832,009/60,105
  6. Step 6: Final answer
    x = 273,668.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.