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Finding the Third Proportional to 126,640 and 200,529

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Solution

The third proportional to 126,640 and 200,529 is: 317,529.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,640 : 200,529 = 200,529 : x
  2. Step 2: Convert to fraction form
    126,640/200,529 = 200,529/x
  3. Step 3: Cross multiply
    126,640x = 200,529 × 200,529
  4. Step 4: Simplify right side
    126,640x = 40,211,879,841
  5. Step 5: Solve for x
    x = 40,211,879,841/126,640
  6. Step 6: Final answer
    x = 317,529.06

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.