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Finding the Third Proportional to 126,912 and 188,888

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Solution

The third proportional to 126,912 and 188,888 is: 281,129.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,912 : 188,888 = 188,888 : x
  2. Step 2: Convert to fraction form
    126,912/188,888 = 188,888/x
  3. Step 3: Cross multiply
    126,912x = 188,888 × 188,888
  4. Step 4: Simplify right side
    126,912x = 35,678,676,544
  5. Step 5: Solve for x
    x = 35,678,676,544/126,912
  6. Step 6: Final answer
    x = 281,129.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.