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Finding the Third Proportional to 126,813 and 299,899

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Solution

The third proportional to 126,813 and 299,899 is: 709,228.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,813 : 299,899 = 299,899 : x
  2. Step 2: Convert to fraction form
    126,813/299,899 = 299,899/x
  3. Step 3: Cross multiply
    126,813x = 299,899 × 299,899
  4. Step 4: Simplify right side
    126,813x = 89,939,410,201
  5. Step 5: Solve for x
    x = 89,939,410,201/126,813
  6. Step 6: Final answer
    x = 709,228.63

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.