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Finding the Third Proportional to 183,721 and 263,278

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Solution

The third proportional to 183,721 and 263,278 is: 377,285.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,721 : 263,278 = 263,278 : x
  2. Step 2: Convert to fraction form
    183,721/263,278 = 263,278/x
  3. Step 3: Cross multiply
    183,721x = 263,278 × 263,278
  4. Step 4: Simplify right side
    183,721x = 69,315,305,284
  5. Step 5: Solve for x
    x = 69,315,305,284/183,721
  6. Step 6: Final answer
    x = 377,285.70

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.