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Finding the Third Proportional to 178,328 and 396,022

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Solution

The third proportional to 178,328 and 396,022 is: 879,466.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,328 : 396,022 = 396,022 : x
  2. Step 2: Convert to fraction form
    178,328/396,022 = 396,022/x
  3. Step 3: Cross multiply
    178,328x = 396,022 × 396,022
  4. Step 4: Simplify right side
    178,328x = 156,833,424,484
  5. Step 5: Solve for x
    x = 156,833,424,484/178,328
  6. Step 6: Final answer
    x = 879,466.07

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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.