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Finding the Third Proportional to 258,296 and 387,708

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Solution

The third proportional to 258,296 and 387,708 is: 581,958.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,296 : 387,708 = 387,708 : x
  2. Step 2: Convert to fraction form
    258,296/387,708 = 387,708/x
  3. Step 3: Cross multiply
    258,296x = 387,708 × 387,708
  4. Step 4: Simplify right side
    258,296x = 150,317,493,264
  5. Step 5: Solve for x
    x = 150,317,493,264/258,296
  6. Step 6: Final answer
    x = 581,958.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.