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Finding the Third Proportional to 255,738 and 378,649

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Solution

The third proportional to 255,738 and 378,649 is: 560,632.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,738 : 378,649 = 378,649 : x
  2. Step 2: Convert to fraction form
    255,738/378,649 = 378,649/x
  3. Step 3: Cross multiply
    255,738x = 378,649 × 378,649
  4. Step 4: Simplify right side
    255,738x = 143,375,065,201
  5. Step 5: Solve for x
    x = 143,375,065,201/255,738
  6. Step 6: Final answer
    x = 560,632.62

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.