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Finding the Third Proportional to 4,991,170 and 10,218,777

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Solution

The third proportional to 4,991,170 and 10,218,777 is: 20,921,628.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,991,170 : 10,218,777 = 10,218,777 : x
  2. Step 2: Convert to fraction form
    4,991,170/10,218,777 = 10,218,777/x
  3. Step 3: Cross multiply
    4,991,170x = 10,218,777 × 10,218,777
  4. Step 4: Simplify right side
    4,991,170x = 104,423,403,375,729
  5. Step 5: Solve for x
    x = 104,423,403,375,729/4,991,170
  6. Step 6: Final answer
    x = 20,921,628.27

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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.