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Finding the Third Proportional to 160,647 and 339,378

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Solution

The third proportional to 160,647 and 339,378 is: 716,959.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,647 : 339,378 = 339,378 : x
  2. Step 2: Convert to fraction form
    160,647/339,378 = 339,378/x
  3. Step 3: Cross multiply
    160,647x = 339,378 × 339,378
  4. Step 4: Simplify right side
    160,647x = 115,177,426,884
  5. Step 5: Solve for x
    x = 115,177,426,884/160,647
  6. Step 6: Final answer
    x = 716,959.71

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.