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Finding the Third Proportional to 126,814 and 299,901

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Solution

The third proportional to 126,814 and 299,901 is: 709,232.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,814 : 299,901 = 299,901 : x
  2. Step 2: Convert to fraction form
    126,814/299,901 = 299,901/x
  3. Step 3: Cross multiply
    126,814x = 299,901 × 299,901
  4. Step 4: Simplify right side
    126,814x = 89,940,609,801
  5. Step 5: Solve for x
    x = 89,940,609,801/126,814
  6. Step 6: Final answer
    x = 709,232.50

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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.