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Finding the Third Proportional to 177,268 and 388,977

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Solution

The third proportional to 177,268 and 388,977 is: 853,527.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,268 : 388,977 = 388,977 : x
  2. Step 2: Convert to fraction form
    177,268/388,977 = 388,977/x
  3. Step 3: Cross multiply
    177,268x = 388,977 × 388,977
  4. Step 4: Simplify right side
    177,268x = 151,303,106,529
  5. Step 5: Solve for x
    x = 151,303,106,529/177,268
  6. Step 6: Final answer
    x = 853,527.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.