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Finding the Third Proportional to 196,568 and 311,740

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Solution

The third proportional to 196,568 and 311,740 is: 494,392.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,568 : 311,740 = 311,740 : x
  2. Step 2: Convert to fraction form
    196,568/311,740 = 311,740/x
  3. Step 3: Cross multiply
    196,568x = 311,740 × 311,740
  4. Step 4: Simplify right side
    196,568x = 97,181,827,600
  5. Step 5: Solve for x
    x = 97,181,827,600/196,568
  6. Step 6: Final answer
    x = 494,392.92

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.