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Finding the Third Proportional to 31,844,021 and 69,650,149

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Solution

The third proportional to 31,844,021 and 69,650,149 is: 152,340,788.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,844,021 : 69,650,149 = 69,650,149 : x
  2. Step 2: Convert to fraction form
    31,844,021/69,650,149 = 69,650,149/x
  3. Step 3: Cross multiply
    31,844,021x = 69,650,149 × 69,650,149
  4. Step 4: Simplify right side
    31,844,021x = 4,851,143,255,722,201
  5. Step 5: Solve for x
    x = 4,851,143,255,722,201/31,844,021
  6. Step 6: Final answer
    x = 152,340,788.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.