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Finding the Third Proportional to 196,260 and 311,279

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Solution

The third proportional to 196,260 and 311,279 is: 493,705.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,260 : 311,279 = 311,279 : x
  2. Step 2: Convert to fraction form
    196,260/311,279 = 311,279/x
  3. Step 3: Cross multiply
    196,260x = 311,279 × 311,279
  4. Step 4: Simplify right side
    196,260x = 96,894,615,841
  5. Step 5: Solve for x
    x = 96,894,615,841/196,260
  6. Step 6: Final answer
    x = 493,705.37

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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.