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Finding the Third Proportional to 194,805 and 311,199

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Solution

The third proportional to 194,805 and 311,199 is: 497,137.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,805 : 311,199 = 311,199 : x
  2. Step 2: Convert to fraction form
    194,805/311,199 = 311,199/x
  3. Step 3: Cross multiply
    194,805x = 311,199 × 311,199
  4. Step 4: Simplify right side
    194,805x = 96,844,817,601
  5. Step 5: Solve for x
    x = 96,844,817,601/194,805
  6. Step 6: Final answer
    x = 497,137.23

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.