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Finding the Third Proportional to 178,447 and 396,260

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Solution

The third proportional to 178,447 and 396,260 is: 879,936.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,447 : 396,260 = 396,260 : x
  2. Step 2: Convert to fraction form
    178,447/396,260 = 396,260/x
  3. Step 3: Cross multiply
    178,447x = 396,260 × 396,260
  4. Step 4: Simplify right side
    178,447x = 157,021,987,600
  5. Step 5: Solve for x
    x = 157,021,987,600/178,447
  6. Step 6: Final answer
    x = 879,936.27

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.