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Finding the Third Proportional to 161,568 and 342,819

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Solution

The third proportional to 161,568 and 342,819 is: 727,401.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,568 : 342,819 = 342,819 : x
  2. Step 2: Convert to fraction form
    161,568/342,819 = 342,819/x
  3. Step 3: Cross multiply
    161,568x = 342,819 × 342,819
  4. Step 4: Simplify right side
    161,568x = 117,524,866,761
  5. Step 5: Solve for x
    x = 117,524,866,761/161,568
  6. Step 6: Final answer
    x = 727,401.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.