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Finding the Third Proportional to 4,550,825 and 9,777,006

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Solution

The third proportional to 4,550,825 and 9,777,006 is: 21,004,948.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,550,825 : 9,777,006 = 9,777,006 : x
  2. Step 2: Convert to fraction form
    4,550,825/9,777,006 = 9,777,006/x
  3. Step 3: Cross multiply
    4,550,825x = 9,777,006 × 9,777,006
  4. Step 4: Simplify right side
    4,550,825x = 95,589,846,324,036
  5. Step 5: Solve for x
    x = 95,589,846,324,036/4,550,825
  6. Step 6: Final answer
    x = 21,004,948.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.