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Finding the Third Proportional to 286,943 and 421,198

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Solution

The third proportional to 286,943 and 421,198 is: 618,268.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,943 : 421,198 = 421,198 : x
  2. Step 2: Convert to fraction form
    286,943/421,198 = 421,198/x
  3. Step 3: Cross multiply
    286,943x = 421,198 × 421,198
  4. Step 4: Simplify right side
    286,943x = 177,407,755,204
  5. Step 5: Solve for x
    x = 177,407,755,204/286,943
  6. Step 6: Final answer
    x = 618,268.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.