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Finding the Third Proportional to 178,658 and 378,052

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Solution

The third proportional to 178,658 and 378,052 is: 799,982.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,658 : 378,052 = 378,052 : x
  2. Step 2: Convert to fraction form
    178,658/378,052 = 378,052/x
  3. Step 3: Cross multiply
    178,658x = 378,052 × 378,052
  4. Step 4: Simplify right side
    178,658x = 142,923,314,704
  5. Step 5: Solve for x
    x = 142,923,314,704/178,658
  6. Step 6: Final answer
    x = 799,982.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.