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Finding the Third Proportional to 8,407,149.75 and 18,103,704.75

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Solution

The third proportional to 8,407,149.75 and 18,103,704.75 is: 38,983,976.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,407,149.75 : 18,103,704.75 = 18,103,704.75 : x
  2. Step 2: Convert to fraction form
    8,407,149.75/18,103,704.75 = 18,103,704.75/x
  3. Step 3: Cross multiply
    8,407,149.75x = 18,103,704.75 × 18,103,704.75
  4. Step 4: Simplify right side
    8,407,149.75x = 327,744,125,675,172.56
  5. Step 5: Solve for x
    x = 327,744,125,675,172.56/8,407,149.75
  6. Step 6: Final answer
    x = 38,983,976.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.