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Finding the Third Proportional to 379,762 and 819,568

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Solution

The third proportional to 379,762 and 819,568 is: 1,768,717.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,762 : 819,568 = 819,568 : x
  2. Step 2: Convert to fraction form
    379,762/819,568 = 819,568/x
  3. Step 3: Cross multiply
    379,762x = 819,568 × 819,568
  4. Step 4: Simplify right side
    379,762x = 671,691,706,624
  5. Step 5: Solve for x
    x = 671,691,706,624/379,762
  6. Step 6: Final answer
    x = 1,768,717.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.