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Finding the Third Proportional to 171,138 and 353,184

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Solution

The third proportional to 171,138 and 353,184 is: 728,879.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,138 : 353,184 = 353,184 : x
  2. Step 2: Convert to fraction form
    171,138/353,184 = 353,184/x
  3. Step 3: Cross multiply
    171,138x = 353,184 × 353,184
  4. Step 4: Simplify right side
    171,138x = 124,738,937,856
  5. Step 5: Solve for x
    x = 124,738,937,856/171,138
  6. Step 6: Final answer
    x = 728,879.25

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.