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Finding the Third Proportional to 138,649.22 and 298,314.56

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Solution

The third proportional to 138,649.22 and 298,314.56 is: 641,846.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,649.22 : 298,314.56 = 298,314.56 : x
  2. Step 2: Convert to fraction form
    138,649.22/298,314.56 = 298,314.56/x
  3. Step 3: Cross multiply
    138,649.22x = 298,314.56 × 298,314.56
  4. Step 4: Simplify right side
    138,649.22x = 88,991,578,199.57
  5. Step 5: Solve for x
    x = 88,991,578,199.57/138,649.22
  6. Step 6: Final answer
    x = 641,846.95

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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.