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Finding the Third Proportional to 31,348,855 and 67,929,067

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Solution

The third proportional to 31,348,855 and 67,929,067 is: 147,193,833.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,348,855 : 67,929,067 = 67,929,067 : x
  2. Step 2: Convert to fraction form
    31,348,855/67,929,067 = 67,929,067/x
  3. Step 3: Cross multiply
    31,348,855x = 67,929,067 × 67,929,067
  4. Step 4: Simplify right side
    31,348,855x = 4,614,358,143,490,489
  5. Step 5: Solve for x
    x = 4,614,358,143,490,489/31,348,855
  6. Step 6: Final answer
    x = 147,193,833.51

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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.