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Finding the Third Proportional to 259,340 and 379,668

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Solution

The third proportional to 259,340 and 379,668 is: 555,825.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,340 : 379,668 = 379,668 : x
  2. Step 2: Convert to fraction form
    259,340/379,668 = 379,668/x
  3. Step 3: Cross multiply
    259,340x = 379,668 × 379,668
  4. Step 4: Simplify right side
    259,340x = 144,147,790,224
  5. Step 5: Solve for x
    x = 144,147,790,224/259,340
  6. Step 6: Final answer
    x = 555,825.52

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.