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Finding the Third Proportional to 375,880 and 819,619

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Solution

The third proportional to 375,880 and 819,619 is: 1,787,206.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,880 : 819,619 = 819,619 : x
  2. Step 2: Convert to fraction form
    375,880/819,619 = 819,619/x
  3. Step 3: Cross multiply
    375,880x = 819,619 × 819,619
  4. Step 4: Simplify right side
    375,880x = 671,775,305,161
  5. Step 5: Solve for x
    x = 671,775,305,161/375,880
  6. Step 6: Final answer
    x = 1,787,206.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.