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Finding the Third Proportional to 84,631 and 200,507

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Solution

The third proportional to 84,631 and 200,507 is: 475,039.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,631 : 200,507 = 200,507 : x
  2. Step 2: Convert to fraction form
    84,631/200,507 = 200,507/x
  3. Step 3: Cross multiply
    84,631x = 200,507 × 200,507
  4. Step 4: Simplify right side
    84,631x = 40,203,057,049
  5. Step 5: Solve for x
    x = 40,203,057,049/84,631
  6. Step 6: Final answer
    x = 475,039.37

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.