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Finding the Third Proportional to 196,296.75 and 311,333.63

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Solution

The third proportional to 196,296.75 and 311,333.63 is: 493,786.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,296.75 : 311,333.63 = 311,333.63 : x
  2. Step 2: Convert to fraction form
    196,296.75/311,333.63 = 311,333.63/x
  3. Step 3: Cross multiply
    196,296.75x = 311,333.63 × 311,333.63
  4. Step 4: Simplify right side
    196,296.75x = 96,928,626,055.64
  5. Step 5: Solve for x
    x = 96,928,626,055.64/196,296.75
  6. Step 6: Final answer
    x = 493,786.20

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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.