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Finding the Third Proportional to 200,814 and 311,121

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Solution

The third proportional to 200,814 and 311,121 is: 482,019.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,814 : 311,121 = 311,121 : x
  2. Step 2: Convert to fraction form
    200,814/311,121 = 311,121/x
  3. Step 3: Cross multiply
    200,814x = 311,121 × 311,121
  4. Step 4: Simplify right side
    200,814x = 96,796,276,641
  5. Step 5: Solve for x
    x = 96,796,276,641/200,814
  6. Step 6: Final answer
    x = 482,019.56

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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.