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Finding the Third Proportional to 178,485 and 388,074

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Solution

The third proportional to 178,485 and 388,074 is: 843,776.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,485 : 388,074 = 388,074 : x
  2. Step 2: Convert to fraction form
    178,485/388,074 = 388,074/x
  3. Step 3: Cross multiply
    178,485x = 388,074 × 388,074
  4. Step 4: Simplify right side
    178,485x = 150,601,429,476
  5. Step 5: Solve for x
    x = 150,601,429,476/178,485
  6. Step 6: Final answer
    x = 843,776.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.