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Finding the Third Proportional to 31,473,137 and 67,729,249

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Solution

The third proportional to 31,473,137 and 67,729,249 is: 145,751,317.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,473,137 : 67,729,249 = 67,729,249 : x
  2. Step 2: Convert to fraction form
    31,473,137/67,729,249 = 67,729,249/x
  3. Step 3: Cross multiply
    31,473,137x = 67,729,249 × 67,729,249
  4. Step 4: Simplify right side
    31,473,137x = 4,587,251,170,104,001
  5. Step 5: Solve for x
    x = 4,587,251,170,104,001/31,473,137
  6. Step 6: Final answer
    x = 145,751,317.07

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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.