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Finding the Third Proportional to 207,190.31 and 311,556.56

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Solution

The third proportional to 207,190.31 and 311,556.56 is: 468,494.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,190.31 : 311,556.56 = 311,556.56 : x
  2. Step 2: Convert to fraction form
    207,190.31/311,556.56 = 311,556.56/x
  3. Step 3: Cross multiply
    207,190.31x = 311,556.56 × 311,556.56
  4. Step 4: Simplify right side
    207,190.31x = 97,067,491,636.82
  5. Step 5: Solve for x
    x = 97,067,491,636.82/207,190.31
  6. Step 6: Final answer
    x = 468,494.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.