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Finding the Third Proportional to 276,294 and 405,375

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Solution

The third proportional to 276,294 and 405,375 is: 594,760.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,294 : 405,375 = 405,375 : x
  2. Step 2: Convert to fraction form
    276,294/405,375 = 405,375/x
  3. Step 3: Cross multiply
    276,294x = 405,375 × 405,375
  4. Step 4: Simplify right side
    276,294x = 164,328,890,625
  5. Step 5: Solve for x
    x = 164,328,890,625/276,294
  6. Step 6: Final answer
    x = 594,760.98

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.