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Finding the Third Proportional to 258,796 and 395,106

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Solution

The third proportional to 258,796 and 395,106 is: 603,211.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,796 : 395,106 = 395,106 : x
  2. Step 2: Convert to fraction form
    258,796/395,106 = 395,106/x
  3. Step 3: Cross multiply
    258,796x = 395,106 × 395,106
  4. Step 4: Simplify right side
    258,796x = 156,108,751,236
  5. Step 5: Solve for x
    x = 156,108,751,236/258,796
  6. Step 6: Final answer
    x = 603,211.61

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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.