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Finding the Third Proportional to 200,808 and 434,286

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Solution

The third proportional to 200,808 and 434,286 is: 939,227.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,808 : 434,286 = 434,286 : x
  2. Step 2: Convert to fraction form
    200,808/434,286 = 434,286/x
  3. Step 3: Cross multiply
    200,808x = 434,286 × 434,286
  4. Step 4: Simplify right side
    200,808x = 188,604,329,796
  5. Step 5: Solve for x
    x = 188,604,329,796/200,808
  6. Step 6: Final answer
    x = 939,227.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.