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Finding the Third Proportional to 8,135,667 and 12,308,471

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Solution

The third proportional to 8,135,667 and 12,308,471 is: 18,621,516.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,135,667 : 12,308,471 = 12,308,471 : x
  2. Step 2: Convert to fraction form
    8,135,667/12,308,471 = 12,308,471/x
  3. Step 3: Cross multiply
    8,135,667x = 12,308,471 × 12,308,471
  4. Step 4: Simplify right side
    8,135,667x = 151,498,458,357,841
  5. Step 5: Solve for x
    x = 151,498,458,357,841/8,135,667
  6. Step 6: Final answer
    x = 18,621,516.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.