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Finding the Third Proportional to 276,860 and 395,911

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Solution

The third proportional to 276,860 and 395,911 is: 566,154.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,860 : 395,911 = 395,911 : x
  2. Step 2: Convert to fraction form
    276,860/395,911 = 395,911/x
  3. Step 3: Cross multiply
    276,860x = 395,911 × 395,911
  4. Step 4: Simplify right side
    276,860x = 156,745,519,921
  5. Step 5: Solve for x
    x = 156,745,519,921/276,860
  6. Step 6: Final answer
    x = 566,154.45

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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.