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Finding the Third Proportional to 138,816 and 188,112

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Solution

The third proportional to 138,816 and 188,112 is: 254,913.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,816 : 188,112 = 188,112 : x
  2. Step 2: Convert to fraction form
    138,816/188,112 = 188,112/x
  3. Step 3: Cross multiply
    138,816x = 188,112 × 188,112
  4. Step 4: Simplify right side
    138,816x = 35,386,124,544
  5. Step 5: Solve for x
    x = 35,386,124,544/138,816
  6. Step 6: Final answer
    x = 254,913.88

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.