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Finding the Third Proportional to 126,812 and 299,896

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Solution

The third proportional to 126,812 and 299,896 is: 709,220.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,812 : 299,896 = 299,896 : x
  2. Step 2: Convert to fraction form
    126,812/299,896 = 299,896/x
  3. Step 3: Cross multiply
    126,812x = 299,896 × 299,896
  4. Step 4: Simplify right side
    126,812x = 89,937,610,816
  5. Step 5: Solve for x
    x = 89,937,610,816/126,812
  6. Step 6: Final answer
    x = 709,220.03

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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.