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Finding the Third Proportional to 276,456 and 415,740

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Solution

The third proportional to 276,456 and 415,740 is: 625,198.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,456 : 415,740 = 415,740 : x
  2. Step 2: Convert to fraction form
    276,456/415,740 = 415,740/x
  3. Step 3: Cross multiply
    276,456x = 415,740 × 415,740
  4. Step 4: Simplify right side
    276,456x = 172,839,747,600
  5. Step 5: Solve for x
    x = 172,839,747,600/276,456
  6. Step 6: Final answer
    x = 625,198.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.