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Finding the Third Proportional to 178,236 and 371,215

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Solution

The third proportional to 178,236 and 371,215 is: 773,135.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,236 : 371,215 = 371,215 : x
  2. Step 2: Convert to fraction form
    178,236/371,215 = 371,215/x
  3. Step 3: Cross multiply
    178,236x = 371,215 × 371,215
  4. Step 4: Simplify right side
    178,236x = 137,800,576,225
  5. Step 5: Solve for x
    x = 137,800,576,225/178,236
  6. Step 6: Final answer
    x = 773,135.48

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.