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Finding the Third Proportional to 161,556 and 331,168

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Solution

The third proportional to 161,556 and 331,168 is: 678,849.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,556 : 331,168 = 331,168 : x
  2. Step 2: Convert to fraction form
    161,556/331,168 = 331,168/x
  3. Step 3: Cross multiply
    161,556x = 331,168 × 331,168
  4. Step 4: Simplify right side
    161,556x = 109,672,244,224
  5. Step 5: Solve for x
    x = 109,672,244,224/161,556
  6. Step 6: Final answer
    x = 678,849.71

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.