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Finding the Third Proportional to 84,627 and 200,496

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Solution

The third proportional to 84,627 and 200,496 is: 475,009.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,627 : 200,496 = 200,496 : x
  2. Step 2: Convert to fraction form
    84,627/200,496 = 200,496/x
  3. Step 3: Cross multiply
    84,627x = 200,496 × 200,496
  4. Step 4: Simplify right side
    84,627x = 40,198,646,016
  5. Step 5: Solve for x
    x = 40,198,646,016/84,627
  6. Step 6: Final answer
    x = 475,009.70

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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.