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Finding the Third Proportional to 306,378 and 441,279

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Solution

The third proportional to 306,378 and 441,279 is: 635,578.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,378 : 441,279 = 441,279 : x
  2. Step 2: Convert to fraction form
    306,378/441,279 = 441,279/x
  3. Step 3: Cross multiply
    306,378x = 441,279 × 441,279
  4. Step 4: Simplify right side
    306,378x = 194,727,155,841
  5. Step 5: Solve for x
    x = 194,727,155,841/306,378
  6. Step 6: Final answer
    x = 635,578.13

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.