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Finding the Third Proportional to 200,284 and 311,922

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Solution

The third proportional to 200,284 and 311,922 is: 485,786.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,284 : 311,922 = 311,922 : x
  2. Step 2: Convert to fraction form
    200,284/311,922 = 311,922/x
  3. Step 3: Cross multiply
    200,284x = 311,922 × 311,922
  4. Step 4: Simplify right side
    200,284x = 97,295,334,084
  5. Step 5: Solve for x
    x = 97,295,334,084/200,284
  6. Step 6: Final answer
    x = 485,786.85

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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.