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Finding the Third Proportional to 383,400.56 and 806,463.56

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Solution

The third proportional to 383,400.56 and 806,463.56 is: 1,696,355.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,400.56 : 806,463.56 = 806,463.56 : x
  2. Step 2: Convert to fraction form
    383,400.56/806,463.56 = 806,463.56/x
  3. Step 3: Cross multiply
    383,400.56x = 806,463.56 × 806,463.56
  4. Step 4: Simplify right side
    383,400.56x = 650,383,477,640.19
  5. Step 5: Solve for x
    x = 650,383,477,640.19/383,400.56
  6. Step 6: Final answer
    x = 1,696,355.04

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.