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Finding the Third Proportional to 276,914 and 430,059

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Solution

The third proportional to 276,914 and 430,059 is: 667,899.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,914 : 430,059 = 430,059 : x
  2. Step 2: Convert to fraction form
    276,914/430,059 = 430,059/x
  3. Step 3: Cross multiply
    276,914x = 430,059 × 430,059
  4. Step 4: Simplify right side
    276,914x = 184,950,743,481
  5. Step 5: Solve for x
    x = 184,950,743,481/276,914
  6. Step 6: Final answer
    x = 667,899.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.