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Finding the Third Proportional to 4,269,418 and 9,149,009

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Solution

The third proportional to 4,269,418 and 9,149,009 is: 19,605,568.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,269,418 : 9,149,009 = 9,149,009 : x
  2. Step 2: Convert to fraction form
    4,269,418/9,149,009 = 9,149,009/x
  3. Step 3: Cross multiply
    4,269,418x = 9,149,009 × 9,149,009
  4. Step 4: Simplify right side
    4,269,418x = 83,704,365,682,081
  5. Step 5: Solve for x
    x = 83,704,365,682,081/4,269,418
  6. Step 6: Final answer
    x = 19,605,568.18

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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.