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Finding the Third Proportional to 183,237 and 280,305

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Solution

The third proportional to 183,237 and 280,305 is: 428,793.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,237 : 280,305 = 280,305 : x
  2. Step 2: Convert to fraction form
    183,237/280,305 = 280,305/x
  3. Step 3: Cross multiply
    183,237x = 280,305 × 280,305
  4. Step 4: Simplify right side
    183,237x = 78,570,893,025
  5. Step 5: Solve for x
    x = 78,570,893,025/183,237
  6. Step 6: Final answer
    x = 428,793.82

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.