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Finding the Third Proportional to 8,353,163 and 13,291,631

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Solution

The third proportional to 8,353,163 and 13,291,631 is: 21,149,767.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,353,163 : 13,291,631 = 13,291,631 : x
  2. Step 2: Convert to fraction form
    8,353,163/13,291,631 = 13,291,631/x
  3. Step 3: Cross multiply
    8,353,163x = 13,291,631 × 13,291,631
  4. Step 4: Simplify right side
    8,353,163x = 176,667,454,640,161
  5. Step 5: Solve for x
    x = 176,667,454,640,161/8,353,163
  6. Step 6: Final answer
    x = 21,149,767.42

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.