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Finding the Third Proportional to 131,311 and 196,918

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Solution

The third proportional to 131,311 and 196,918 is: 295,304.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,311 : 196,918 = 196,918 : x
  2. Step 2: Convert to fraction form
    131,311/196,918 = 196,918/x
  3. Step 3: Cross multiply
    131,311x = 196,918 × 196,918
  4. Step 4: Simplify right side
    131,311x = 38,776,698,724
  5. Step 5: Solve for x
    x = 38,776,698,724/131,311
  6. Step 6: Final answer
    x = 295,304.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.