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Finding the Third Proportional to 380,718 and 818,851

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Solution

The third proportional to 380,718 and 818,851 is: 1,761,190.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,718 : 818,851 = 818,851 : x
  2. Step 2: Convert to fraction form
    380,718/818,851 = 818,851/x
  3. Step 3: Cross multiply
    380,718x = 818,851 × 818,851
  4. Step 4: Simplify right side
    380,718x = 670,516,960,201
  5. Step 5: Solve for x
    x = 670,516,960,201/380,718
  6. Step 6: Final answer
    x = 1,761,190.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.