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Finding the Third Proportional to 127,589 and 298,011

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Solution

The third proportional to 127,589 and 298,011 is: 696,067.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,589 : 298,011 = 298,011 : x
  2. Step 2: Convert to fraction form
    127,589/298,011 = 298,011/x
  3. Step 3: Cross multiply
    127,589x = 298,011 × 298,011
  4. Step 4: Simplify right side
    127,589x = 88,810,556,121
  5. Step 5: Solve for x
    x = 88,810,556,121/127,589
  6. Step 6: Final answer
    x = 696,067.50

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.