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Finding the Third Proportional to 183,078 and 396,605

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Solution

The third proportional to 183,078 and 396,605 is: 859,172.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,078 : 396,605 = 396,605 : x
  2. Step 2: Convert to fraction form
    183,078/396,605 = 396,605/x
  3. Step 3: Cross multiply
    183,078x = 396,605 × 396,605
  4. Step 4: Simplify right side
    183,078x = 157,295,526,025
  5. Step 5: Solve for x
    x = 157,295,526,025/183,078
  6. Step 6: Final answer
    x = 859,172.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.