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Finding the Third Proportional to 178,918.50 and 393,099

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Solution

The third proportional to 178,918.50 and 393,099 is: 863,671.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,918.50 : 393,099 = 393,099 : x
  2. Step 2: Convert to fraction form
    178,918.50/393,099 = 393,099/x
  3. Step 3: Cross multiply
    178,918.50x = 393,099 × 393,099
  4. Step 4: Simplify right side
    178,918.50x = 154,526,823,801
  5. Step 5: Solve for x
    x = 154,526,823,801/178,918.50
  6. Step 6: Final answer
    x = 863,671.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.