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Finding the Third Proportional to 1,251,021 and 2,679,189

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Solution

The third proportional to 1,251,021 and 2,679,189 is: 5,737,756.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251,021 : 2,679,189 = 2,679,189 : x
  2. Step 2: Convert to fraction form
    1,251,021/2,679,189 = 2,679,189/x
  3. Step 3: Cross multiply
    1,251,021x = 2,679,189 × 2,679,189
  4. Step 4: Simplify right side
    1,251,021x = 7,178,053,697,721
  5. Step 5: Solve for x
    x = 7,178,053,697,721/1,251,021
  6. Step 6: Final answer
    x = 5,737,756.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.