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Finding the Third Proportional to 4,278,108 and 6,417,990

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Solution

The third proportional to 4,278,108 and 6,417,990 is: 9,628,227.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,278,108 : 6,417,990 = 6,417,990 : x
  2. Step 2: Convert to fraction form
    4,278,108/6,417,990 = 6,417,990/x
  3. Step 3: Cross multiply
    4,278,108x = 6,417,990 × 6,417,990
  4. Step 4: Simplify right side
    4,278,108x = 41,190,595,640,100
  5. Step 5: Solve for x
    x = 41,190,595,640,100/4,278,108
  6. Step 6: Final answer
    x = 9,628,227.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.