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Finding the Third Proportional to 200,917 and 311,443

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Solution

The third proportional to 200,917 and 311,443 is: 482,770.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,917 : 311,443 = 311,443 : x
  2. Step 2: Convert to fraction form
    200,917/311,443 = 311,443/x
  3. Step 3: Cross multiply
    200,917x = 311,443 × 311,443
  4. Step 4: Simplify right side
    200,917x = 96,996,742,249
  5. Step 5: Solve for x
    x = 96,996,742,249/200,917
  6. Step 6: Final answer
    x = 482,770.21

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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.