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Finding the Third Proportional to 178,296 and 391,728

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Solution

The third proportional to 178,296 and 391,728 is: 860,652.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,296 : 391,728 = 391,728 : x
  2. Step 2: Convert to fraction form
    178,296/391,728 = 391,728/x
  3. Step 3: Cross multiply
    178,296x = 391,728 × 391,728
  4. Step 4: Simplify right side
    178,296x = 153,450,825,984
  5. Step 5: Solve for x
    x = 153,450,825,984/178,296
  6. Step 6: Final answer
    x = 860,652.10

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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.