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Finding the Third Proportional to 380,040 and 825,790

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Solution

The third proportional to 380,040 and 825,790 is: 1,794,361.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,040 : 825,790 = 825,790 : x
  2. Step 2: Convert to fraction form
    380,040/825,790 = 825,790/x
  3. Step 3: Cross multiply
    380,040x = 825,790 × 825,790
  4. Step 4: Simplify right side
    380,040x = 681,929,124,100
  5. Step 5: Solve for x
    x = 681,929,124,100/380,040
  6. Step 6: Final answer
    x = 1,794,361.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.