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Finding the Third Proportional to 200,553 and 427,794

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Solution

The third proportional to 200,553 and 427,794 is: 912,515.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,553 : 427,794 = 427,794 : x
  2. Step 2: Convert to fraction form
    200,553/427,794 = 427,794/x
  3. Step 3: Cross multiply
    200,553x = 427,794 × 427,794
  4. Step 4: Simplify right side
    200,553x = 183,007,706,436
  5. Step 5: Solve for x
    x = 183,007,706,436/200,553
  6. Step 6: Final answer
    x = 912,515.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.