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Finding the Third Proportional to 3,838,761 and 8,400,690

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Solution

The third proportional to 3,838,761 and 8,400,690 is: 18,383,950.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838,761 : 8,400,690 = 8,400,690 : x
  2. Step 2: Convert to fraction form
    3,838,761/8,400,690 = 8,400,690/x
  3. Step 3: Cross multiply
    3,838,761x = 8,400,690 × 8,400,690
  4. Step 4: Simplify right side
    3,838,761x = 70,571,592,476,100
  5. Step 5: Solve for x
    x = 70,571,592,476,100/3,838,761
  6. Step 6: Final answer
    x = 18,383,950.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.