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Finding the Third Proportional to 178,915 and 385,857

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Solution

The third proportional to 178,915 and 385,857 is: 832,158.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,915 : 385,857 = 385,857 : x
  2. Step 2: Convert to fraction form
    178,915/385,857 = 385,857/x
  3. Step 3: Cross multiply
    178,915x = 385,857 × 385,857
  4. Step 4: Simplify right side
    178,915x = 148,885,624,449
  5. Step 5: Solve for x
    x = 148,885,624,449/178,915
  6. Step 6: Final answer
    x = 832,158.42

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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.