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Finding the Third Proportional to 189,178 and 395,878

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Solution

The third proportional to 189,178 and 395,878 is: 828,422.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,178 : 395,878 = 395,878 : x
  2. Step 2: Convert to fraction form
    189,178/395,878 = 395,878/x
  3. Step 3: Cross multiply
    189,178x = 395,878 × 395,878
  4. Step 4: Simplify right side
    189,178x = 156,719,390,884
  5. Step 5: Solve for x
    x = 156,719,390,884/189,178
  6. Step 6: Final answer
    x = 828,422.92

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.