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Finding the Third Proportional to 4,199,109 and 9,211,780

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Solution

The third proportional to 4,199,109 and 9,211,780 is: 20,208,308.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199,109 : 9,211,780 = 9,211,780 : x
  2. Step 2: Convert to fraction form
    4,199,109/9,211,780 = 9,211,780/x
  3. Step 3: Cross multiply
    4,199,109x = 9,211,780 × 9,211,780
  4. Step 4: Simplify right side
    4,199,109x = 84,856,890,768,400
  5. Step 5: Solve for x
    x = 84,856,890,768,400/4,199,109
  6. Step 6: Final answer
    x = 20,208,308.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.