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Finding the Third Proportional to 173,211 and 372,205

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Solution

The third proportional to 173,211 and 372,205 is: 799,813.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,211 : 372,205 = 372,205 : x
  2. Step 2: Convert to fraction form
    173,211/372,205 = 372,205/x
  3. Step 3: Cross multiply
    173,211x = 372,205 × 372,205
  4. Step 4: Simplify right side
    173,211x = 138,536,562,025
  5. Step 5: Solve for x
    x = 138,536,562,025/173,211
  6. Step 6: Final answer
    x = 799,813.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.