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Finding the Third Proportional to 2,120,898 and 3,212,235

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Solution

The third proportional to 2,120,898 and 3,212,235 is: 4,865,134.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120,898 : 3,212,235 = 3,212,235 : x
  2. Step 2: Convert to fraction form
    2,120,898/3,212,235 = 3,212,235/x
  3. Step 3: Cross multiply
    2,120,898x = 3,212,235 × 3,212,235
  4. Step 4: Simplify right side
    2,120,898x = 10,318,453,695,225
  5. Step 5: Solve for x
    x = 10,318,453,695,225/2,120,898
  6. Step 6: Final answer
    x = 4,865,134.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.