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Finding the Third Proportional to 8,214,154 and 12,769,197

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Solution

The third proportional to 8,214,154 and 12,769,197 is: 19,850,174.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214,154 : 12,769,197 = 12,769,197 : x
  2. Step 2: Convert to fraction form
    8,214,154/12,769,197 = 12,769,197/x
  3. Step 3: Cross multiply
    8,214,154x = 12,769,197 × 12,769,197
  4. Step 4: Simplify right side
    8,214,154x = 163,052,392,024,809
  5. Step 5: Solve for x
    x = 163,052,392,024,809/8,214,154
  6. Step 6: Final answer
    x = 19,850,174.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.