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Finding the Third Proportional to 178,971 and 385,977

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Solution

The third proportional to 178,971 and 385,977 is: 832,415.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,971 : 385,977 = 385,977 : x
  2. Step 2: Convert to fraction form
    178,971/385,977 = 385,977/x
  3. Step 3: Cross multiply
    178,971x = 385,977 × 385,977
  4. Step 4: Simplify right side
    178,971x = 148,978,244,529
  5. Step 5: Solve for x
    x = 148,978,244,529/178,971
  6. Step 6: Final answer
    x = 832,415.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.