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Finding the Third Proportional to 200,338 and 311,991

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Solution

The third proportional to 200,338 and 311,991 is: 485,870.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,338 : 311,991 = 311,991 : x
  2. Step 2: Convert to fraction form
    200,338/311,991 = 311,991/x
  3. Step 3: Cross multiply
    200,338x = 311,991 × 311,991
  4. Step 4: Simplify right side
    200,338x = 97,338,384,081
  5. Step 5: Solve for x
    x = 97,338,384,081/200,338
  6. Step 6: Final answer
    x = 485,870.80

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.