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Finding the Third Proportional to 200,831,760 and 310,336,218

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Solution

The third proportional to 200,831,760 and 310,336,218 is: 479,548,494.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,831,760 : 310,336,218 = 310,336,218 : x
  2. Step 2: Convert to fraction form
    200,831,760/310,336,218 = 310,336,218/x
  3. Step 3: Cross multiply
    200,831,760x = 310,336,218 × 310,336,218
  4. Step 4: Simplify right side
    200,831,760x = 96,308,568,202,543,520
  5. Step 5: Solve for x
    x = 96,308,568,202,543,520/200,831,760
  6. Step 6: Final answer
    x = 479,548,494.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.