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Finding the Third Proportional to 131,708 and 188,208

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Solution

The third proportional to 131,708 and 188,208 is: 268,945.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,708 : 188,208 = 188,208 : x
  2. Step 2: Convert to fraction form
    131,708/188,208 = 188,208/x
  3. Step 3: Cross multiply
    131,708x = 188,208 × 188,208
  4. Step 4: Simplify right side
    131,708x = 35,422,251,264
  5. Step 5: Solve for x
    x = 35,422,251,264/131,708
  6. Step 6: Final answer
    x = 268,945.33

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.