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Finding the Third Proportional to 126,816 and 299,904

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Solution

The third proportional to 126,816 and 299,904 is: 709,235.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,816 : 299,904 = 299,904 : x
  2. Step 2: Convert to fraction form
    126,816/299,904 = 299,904/x
  3. Step 3: Cross multiply
    126,816x = 299,904 × 299,904
  4. Step 4: Simplify right side
    126,816x = 89,942,409,216
  5. Step 5: Solve for x
    x = 89,942,409,216/126,816
  6. Step 6: Final answer
    x = 709,235.50

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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.