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Finding the Third Proportional to 12,787,540 and 27,394,663

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Solution

The third proportional to 12,787,540 and 27,394,663 is: 58,687,406.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,787,540 : 27,394,663 = 27,394,663 : x
  2. Step 2: Convert to fraction form
    12,787,540/27,394,663 = 27,394,663/x
  3. Step 3: Cross multiply
    12,787,540x = 27,394,663 × 27,394,663
  4. Step 4: Simplify right side
    12,787,540x = 750,467,560,883,569
  5. Step 5: Solve for x
    x = 750,467,560,883,569/12,787,540
  6. Step 6: Final answer
    x = 58,687,406.72

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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.