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Finding the Third Proportional to 258,797 and 395,108

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Solution

The third proportional to 258,797 and 395,108 is: 603,215.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,797 : 395,108 = 395,108 : x
  2. Step 2: Convert to fraction form
    258,797/395,108 = 395,108/x
  3. Step 3: Cross multiply
    258,797x = 395,108 × 395,108
  4. Step 4: Simplify right side
    258,797x = 156,110,331,664
  5. Step 5: Solve for x
    x = 156,110,331,664/258,797
  6. Step 6: Final answer
    x = 603,215.38

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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.