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Finding the Third Proportional to 196,329 and 311,382

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Solution

The third proportional to 196,329 and 311,382 is: 493,858.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,329 : 311,382 = 311,382 : x
  2. Step 2: Convert to fraction form
    196,329/311,382 = 311,382/x
  3. Step 3: Cross multiply
    196,329x = 311,382 × 311,382
  4. Step 4: Simplify right side
    196,329x = 96,958,749,924
  5. Step 5: Solve for x
    x = 96,958,749,924/196,329
  6. Step 6: Final answer
    x = 493,858.52

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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.