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Finding the Third Proportional to 159,144 and 209,166

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Solution

The third proportional to 159,144 and 209,166 is: 274,910.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,144 : 209,166 = 209,166 : x
  2. Step 2: Convert to fraction form
    159,144/209,166 = 209,166/x
  3. Step 3: Cross multiply
    159,144x = 209,166 × 209,166
  4. Step 4: Simplify right side
    159,144x = 43,750,415,556
  5. Step 5: Solve for x
    x = 43,750,415,556/159,144
  6. Step 6: Final answer
    x = 274,910.87

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.