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Finding the Third Proportional to 5,120,813 and 10,972,027

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Solution

The third proportional to 5,120,813 and 10,972,027 is: 23,509,035.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,120,813 : 10,972,027 = 10,972,027 : x
  2. Step 2: Convert to fraction form
    5,120,813/10,972,027 = 10,972,027/x
  3. Step 3: Cross multiply
    5,120,813x = 10,972,027 × 10,972,027
  4. Step 4: Simplify right side
    5,120,813x = 120,385,376,488,729
  5. Step 5: Solve for x
    x = 120,385,376,488,729/5,120,813
  6. Step 6: Final answer
    x = 23,509,035.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.