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Finding the Third Proportional to 8,642,384 and 18,839,872

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Solution

The third proportional to 8,642,384 and 18,839,872 is: 41,069,776.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,642,384 : 18,839,872 = 18,839,872 : x
  2. Step 2: Convert to fraction form
    8,642,384/18,839,872 = 18,839,872/x
  3. Step 3: Cross multiply
    8,642,384x = 18,839,872 × 18,839,872
  4. Step 4: Simplify right side
    8,642,384x = 354,940,776,976,384
  5. Step 5: Solve for x
    x = 354,940,776,976,384/8,642,384
  6. Step 6: Final answer
    x = 41,069,776.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.