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Finding the Third Proportional to 138,491.44 and 301,249.13

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Solution

The third proportional to 138,491.44 and 301,249.13 is: 655,282.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,491.44 : 301,249.13 = 301,249.13 : x
  2. Step 2: Convert to fraction form
    138,491.44/301,249.13 = 301,249.13/x
  3. Step 3: Cross multiply
    138,491.44x = 301,249.13 × 301,249.13
  4. Step 4: Simplify right side
    138,491.44x = 90,751,035,313.27
  5. Step 5: Solve for x
    x = 90,751,035,313.27/138,491.44
  6. Step 6: Final answer
    x = 655,282.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.