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Finding the Third Proportional to 8,211,744 and 19,782,864

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Solution

The third proportional to 8,211,744 and 19,782,864 is: 47,658,780.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,211,744 : 19,782,864 = 19,782,864 : x
  2. Step 2: Convert to fraction form
    8,211,744/19,782,864 = 19,782,864/x
  3. Step 3: Cross multiply
    8,211,744x = 19,782,864 × 19,782,864
  4. Step 4: Simplify right side
    8,211,744x = 391,361,708,042,496
  5. Step 5: Solve for x
    x = 391,361,708,042,496/8,211,744
  6. Step 6: Final answer
    x = 47,658,780.89

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.