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Finding the Third Proportional to 276,840 and 395,878

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Solution

The third proportional to 276,840 and 395,878 is: 566,100.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,840 : 395,878 = 395,878 : x
  2. Step 2: Convert to fraction form
    276,840/395,878 = 395,878/x
  3. Step 3: Cross multiply
    276,840x = 395,878 × 395,878
  4. Step 4: Simplify right side
    276,840x = 156,719,390,884
  5. Step 5: Solve for x
    x = 156,719,390,884/276,840
  6. Step 6: Final answer
    x = 566,100.96

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.