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Finding the Third Proportional to 121,481,974 and 195,625,991

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Solution

The third proportional to 121,481,974 and 195,625,991 is: 315,022,279.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,481,974 : 195,625,991 = 195,625,991 : x
  2. Step 2: Convert to fraction form
    121,481,974/195,625,991 = 195,625,991/x
  3. Step 3: Cross multiply
    121,481,974x = 195,625,991 × 195,625,991
  4. Step 4: Simplify right side
    121,481,974x = 38,269,528,354,732,080
  5. Step 5: Solve for x
    x = 38,269,528,354,732,080/121,481,974
  6. Step 6: Final answer
    x = 315,022,279.39

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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.