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Finding the Third Proportional to 381,973.22 and 809,480.46

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Solution

The third proportional to 381,973.22 and 809,480.46 is: 1,715,456.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,973.22 : 809,480.46 = 809,480.46 : x
  2. Step 2: Convert to fraction form
    381,973.22/809,480.46 = 809,480.46/x
  3. Step 3: Cross multiply
    381,973.22x = 809,480.46 × 809,480.46
  4. Step 4: Simplify right side
    381,973.22x = 655,258,616,639.59
  5. Step 5: Solve for x
    x = 655,258,616,639.59/381,973.22
  6. Step 6: Final answer
    x = 1,715,456.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.