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Finding the Third Proportional to 117,112 and 251,990

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Solution

The third proportional to 117,112 and 251,990 is: 542,207.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,112 : 251,990 = 251,990 : x
  2. Step 2: Convert to fraction form
    117,112/251,990 = 251,990/x
  3. Step 3: Cross multiply
    117,112x = 251,990 × 251,990
  4. Step 4: Simplify right side
    117,112x = 63,498,960,100
  5. Step 5: Solve for x
    x = 63,498,960,100/117,112
  6. Step 6: Final answer
    x = 542,207.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.