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Finding the Third Proportional to 196,243.88 and 311,254.31

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Solution

The third proportional to 196,243.88 and 311,254.31 is: 493,667.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,243.88 : 311,254.31 = 311,254.31 : x
  2. Step 2: Convert to fraction form
    196,243.88/311,254.31 = 311,254.31/x
  3. Step 3: Cross multiply
    196,243.88x = 311,254.31 × 311,254.31
  4. Step 4: Simplify right side
    196,243.88x = 96,879,247,049.85
  5. Step 5: Solve for x
    x = 96,879,247,049.85/196,243.88
  6. Step 6: Final answer
    x = 493,667.62

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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.