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Finding the Third Proportional to 276,288 and 426,672

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Solution

The third proportional to 276,288 and 426,672 is: 658,910.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,288 : 426,672 = 426,672 : x
  2. Step 2: Convert to fraction form
    276,288/426,672 = 426,672/x
  3. Step 3: Cross multiply
    276,288x = 426,672 × 426,672
  4. Step 4: Simplify right side
    276,288x = 182,048,995,584
  5. Step 5: Solve for x
    x = 182,048,995,584/276,288
  6. Step 6: Final answer
    x = 658,910.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.