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Finding the Third Proportional to 258,937 and 387,325

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Solution

The third proportional to 258,937 and 387,325 is: 579,371.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,937 : 387,325 = 387,325 : x
  2. Step 2: Convert to fraction form
    258,937/387,325 = 387,325/x
  3. Step 3: Cross multiply
    258,937x = 387,325 × 387,325
  4. Step 4: Simplify right side
    258,937x = 150,020,655,625
  5. Step 5: Solve for x
    x = 150,020,655,625/258,937
  6. Step 6: Final answer
    x = 579,371.26

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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.