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Finding the Third Proportional to 8,718,419 and 11,968,009

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Solution

The third proportional to 8,718,419 and 11,968,009 is: 16,428,808.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,718,419 : 11,968,009 = 11,968,009 : x
  2. Step 2: Convert to fraction form
    8,718,419/11,968,009 = 11,968,009/x
  3. Step 3: Cross multiply
    8,718,419x = 11,968,009 × 11,968,009
  4. Step 4: Simplify right side
    8,718,419x = 143,233,239,424,081
  5. Step 5: Solve for x
    x = 143,233,239,424,081/8,718,419
  6. Step 6: Final answer
    x = 16,428,808.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.