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Finding the Third Proportional to 174,986 and 256,647

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Solution

The third proportional to 174,986 and 256,647 is: 376,416.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,986 : 256,647 = 256,647 : x
  2. Step 2: Convert to fraction form
    174,986/256,647 = 256,647/x
  3. Step 3: Cross multiply
    174,986x = 256,647 × 256,647
  4. Step 4: Simplify right side
    174,986x = 65,867,682,609
  5. Step 5: Solve for x
    x = 65,867,682,609/174,986
  6. Step 6: Final answer
    x = 376,416.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.