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Finding the Third Proportional to 68,907 and 142,242

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Solution

The third proportional to 68,907 and 142,242 is: 293,624.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,907 : 142,242 = 142,242 : x
  2. Step 2: Convert to fraction form
    68,907/142,242 = 142,242/x
  3. Step 3: Cross multiply
    68,907x = 142,242 × 142,242
  4. Step 4: Simplify right side
    68,907x = 20,232,786,564
  5. Step 5: Solve for x
    x = 20,232,786,564/68,907
  6. Step 6: Final answer
    x = 293,624.55

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.