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Finding the Third Proportional to 200,269 and 309,991

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Solution

The third proportional to 200,269 and 309,991 is: 479,826.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,269 : 309,991 = 309,991 : x
  2. Step 2: Convert to fraction form
    200,269/309,991 = 309,991/x
  3. Step 3: Cross multiply
    200,269x = 309,991 × 309,991
  4. Step 4: Simplify right side
    200,269x = 96,094,420,081
  5. Step 5: Solve for x
    x = 96,094,420,081/200,269
  6. Step 6: Final answer
    x = 479,826.73

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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.