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Finding the Third Proportional to 201,397,908 and 310,993,589

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Solution

The third proportional to 201,397,908 and 310,993,589 is: 480,228,485.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,397,908 : 310,993,589 = 310,993,589 : x
  2. Step 2: Convert to fraction form
    201,397,908/310,993,589 = 310,993,589/x
  3. Step 3: Cross multiply
    201,397,908x = 310,993,589 × 310,993,589
  4. Step 4: Simplify right side
    201,397,908x = 96,717,012,399,100,928
  5. Step 5: Solve for x
    x = 96,717,012,399,100,928/201,397,908
  6. Step 6: Final answer
    x = 480,228,485.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.