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Finding the Third Proportional to 31,305,166 and 67,821,512

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Solution

The third proportional to 31,305,166 and 67,821,512 is: 146,932,857.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,305,166 : 67,821,512 = 67,821,512 : x
  2. Step 2: Convert to fraction form
    31,305,166/67,821,512 = 67,821,512/x
  3. Step 3: Cross multiply
    31,305,166x = 67,821,512 × 67,821,512
  4. Step 4: Simplify right side
    31,305,166x = 4,599,757,489,966,144
  5. Step 5: Solve for x
    x = 4,599,757,489,966,144/31,305,166
  6. Step 6: Final answer
    x = 146,932,857.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.