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Finding the Third Proportional to 383,396.91 and 806,455.69

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Solution

The third proportional to 383,396.91 and 806,455.69 is: 1,696,338.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,396.91 : 806,455.69 = 806,455.69 : x
  2. Step 2: Convert to fraction form
    383,396.91/806,455.69 = 806,455.69/x
  3. Step 3: Cross multiply
    383,396.91x = 806,455.69 × 806,455.69
  4. Step 4: Simplify right side
    383,396.91x = 650,370,775,901.10
  5. Step 5: Solve for x
    x = 650,370,775,901.10/383,396.91
  6. Step 6: Final answer
    x = 1,696,338.09

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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.