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Finding the Third Proportional to 258,936 and 387,324

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Solution

The third proportional to 258,936 and 387,324 is: 579,370.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,936 : 387,324 = 387,324 : x
  2. Step 2: Convert to fraction form
    258,936/387,324 = 387,324/x
  3. Step 3: Cross multiply
    258,936x = 387,324 × 387,324
  4. Step 4: Simplify right side
    258,936x = 150,019,880,976
  5. Step 5: Solve for x
    x = 150,019,880,976/258,936
  6. Step 6: Final answer
    x = 579,370.50

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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.