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Finding the Third Proportional to 1,215,678 and 2,619,893

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Solution

The third proportional to 1,215,678 and 2,619,893 is: 5,646,099.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215,678 : 2,619,893 = 2,619,893 : x
  2. Step 2: Convert to fraction form
    1,215,678/2,619,893 = 2,619,893/x
  3. Step 3: Cross multiply
    1,215,678x = 2,619,893 × 2,619,893
  4. Step 4: Simplify right side
    1,215,678x = 6,863,839,331,449
  5. Step 5: Solve for x
    x = 6,863,839,331,449/1,215,678
  6. Step 6: Final answer
    x = 5,646,099.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.