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Finding the Third Proportional to 381,312 and 821,723

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Solution

The third proportional to 381,312 and 821,723 is: 1,770,803.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,312 : 821,723 = 821,723 : x
  2. Step 2: Convert to fraction form
    381,312/821,723 = 821,723/x
  3. Step 3: Cross multiply
    381,312x = 821,723 × 821,723
  4. Step 4: Simplify right side
    381,312x = 675,228,688,729
  5. Step 5: Solve for x
    x = 675,228,688,729/381,312
  6. Step 6: Final answer
    x = 1,770,803.67

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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.