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Finding the Third Proportional to 68,902 and 118,907

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Solution

The third proportional to 68,902 and 118,907 is: 205,202.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,902 : 118,907 = 118,907 : x
  2. Step 2: Convert to fraction form
    68,902/118,907 = 118,907/x
  3. Step 3: Cross multiply
    68,902x = 118,907 × 118,907
  4. Step 4: Simplify right side
    68,902x = 14,138,874,649
  5. Step 5: Solve for x
    x = 14,138,874,649/68,902
  6. Step 6: Final answer
    x = 205,202.67

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.