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Finding the Third Proportional to 638,843 and 1,407,311

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Solution

The third proportional to 638,843 and 1,407,311 is: 3,100,173.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,843 : 1,407,311 = 1,407,311 : x
  2. Step 2: Convert to fraction form
    638,843/1,407,311 = 1,407,311/x
  3. Step 3: Cross multiply
    638,843x = 1,407,311 × 1,407,311
  4. Step 4: Simplify right side
    638,843x = 1,980,524,250,721
  5. Step 5: Solve for x
    x = 1,980,524,250,721/638,843
  6. Step 6: Final answer
    x = 3,100,173.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.