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

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Solution

The third proportional to 200,286 and 434,808 is: 943,940.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,286 : 434,808 = 434,808 : x
  2. Step 2: Convert to fraction form
    200,286/434,808 = 434,808/x
  3. Step 3: Cross multiply
    200,286x = 434,808 × 434,808
  4. Step 4: Simplify right side
    200,286x = 189,057,996,864
  5. Step 5: Solve for x
    x = 189,057,996,864/200,286
  6. Step 6: Final answer
    x = 943,940.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.