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Finding the Third Proportional to 8,422,769 and 17,243,941

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Solution

The third proportional to 8,422,769 and 17,243,941 is: 35,303,532.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,422,769 : 17,243,941 = 17,243,941 : x
  2. Step 2: Convert to fraction form
    8,422,769/17,243,941 = 17,243,941/x
  3. Step 3: Cross multiply
    8,422,769x = 17,243,941 × 17,243,941
  4. Step 4: Simplify right side
    8,422,769x = 297,353,501,211,481
  5. Step 5: Solve for x
    x = 297,353,501,211,481/8,422,769
  6. Step 6: Final answer
    x = 35,303,532.75

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.