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Finding the Third Proportional to 383,431.22 and 806,513.20

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Solution

The third proportional to 383,431.22 and 806,513.20 is: 1,696,428.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,431.22 : 806,513.20 = 806,513.20 : x
  2. Step 2: Convert to fraction form
    383,431.22/806,513.20 = 806,513.20/x
  3. Step 3: Cross multiply
    383,431.22x = 806,513.20 × 806,513.20
  4. Step 4: Simplify right side
    383,431.22x = 650,463,546,814.95
  5. Step 5: Solve for x
    x = 650,463,546,814.95/383,431.22
  6. Step 6: Final answer
    x = 1,696,428.24

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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.