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Finding the Third Proportional to 178,878 and 379,074

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Solution

The third proportional to 178,878 and 379,074 is: 803,324.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,878 : 379,074 = 379,074 : x
  2. Step 2: Convert to fraction form
    178,878/379,074 = 379,074/x
  3. Step 3: Cross multiply
    178,878x = 379,074 × 379,074
  4. Step 4: Simplify right side
    178,878x = 143,697,097,476
  5. Step 5: Solve for x
    x = 143,697,097,476/178,878
  6. Step 6: Final answer
    x = 803,324.60

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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.