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Finding the Third Proportional to 195,778 and 311,171

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Solution

The third proportional to 195,778 and 311,171 is: 494,577.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,778 : 311,171 = 311,171 : x
  2. Step 2: Convert to fraction form
    195,778/311,171 = 311,171/x
  3. Step 3: Cross multiply
    195,778x = 311,171 × 311,171
  4. Step 4: Simplify right side
    195,778x = 96,827,391,241
  5. Step 5: Solve for x
    x = 96,827,391,241/195,778
  6. Step 6: Final answer
    x = 494,577.49

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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.