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Finding the Third Proportional to 121,481,976 and 195,625,993.50

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Solution

The third proportional to 121,481,976 and 195,625,993.50 is: 315,022,282.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,481,976 : 195,625,993.50 = 195,625,993.50 : x
  2. Step 2: Convert to fraction form
    121,481,976/195,625,993.50 = 195,625,993.50/x
  3. Step 3: Cross multiply
    121,481,976x = 195,625,993.50 × 195,625,993.50
  4. Step 4: Simplify right side
    121,481,976x = 38,269,529,332,862,040
  5. Step 5: Solve for x
    x = 38,269,529,332,862,040/121,481,976
  6. Step 6: Final answer
    x = 315,022,282.26

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.