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Finding the Third Proportional to 126,811 and 299,894

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Solution

The third proportional to 126,811 and 299,894 is: 709,216.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,811 : 299,894 = 299,894 : x
  2. Step 2: Convert to fraction form
    126,811/299,894 = 299,894/x
  3. Step 3: Cross multiply
    126,811x = 299,894 × 299,894
  4. Step 4: Simplify right side
    126,811x = 89,936,411,236
  5. Step 5: Solve for x
    x = 89,936,411,236/126,811
  6. Step 6: Final answer
    x = 709,216.17

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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.