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Finding the Third Proportional to 276,050 and 418,215

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Solution

The third proportional to 276,050 and 418,215 is: 633,594.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,050 : 418,215 = 418,215 : x
  2. Step 2: Convert to fraction form
    276,050/418,215 = 418,215/x
  3. Step 3: Cross multiply
    276,050x = 418,215 × 418,215
  4. Step 4: Simplify right side
    276,050x = 174,903,786,225
  5. Step 5: Solve for x
    x = 174,903,786,225/276,050
  6. Step 6: Final answer
    x = 633,594.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.