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Finding the Third Proportional to 239,640 and 363,834

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Solution

The third proportional to 239,640 and 363,834 is: 552,391.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,640 : 363,834 = 363,834 : x
  2. Step 2: Convert to fraction form
    239,640/363,834 = 363,834/x
  3. Step 3: Cross multiply
    239,640x = 363,834 × 363,834
  4. Step 4: Simplify right side
    239,640x = 132,375,179,556
  5. Step 5: Solve for x
    x = 132,375,179,556/239,640
  6. Step 6: Final answer
    x = 552,391.84

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.