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Finding the Third Proportional to 81,907 and 178,968

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Solution

The third proportional to 81,907 and 178,968 is: 391,047.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,907 : 178,968 = 178,968 : x
  2. Step 2: Convert to fraction form
    81,907/178,968 = 178,968/x
  3. Step 3: Cross multiply
    81,907x = 178,968 × 178,968
  4. Step 4: Simplify right side
    81,907x = 32,029,545,024
  5. Step 5: Solve for x
    x = 32,029,545,024/81,907
  6. Step 6: Final answer
    x = 391,047.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.