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Finding the Third Proportional to 304,037 and 421,245

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Solution

The third proportional to 304,037 and 421,245 is: 583,637.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,037 : 421,245 = 421,245 : x
  2. Step 2: Convert to fraction form
    304,037/421,245 = 421,245/x
  3. Step 3: Cross multiply
    304,037x = 421,245 × 421,245
  4. Step 4: Simplify right side
    304,037x = 177,447,350,025
  5. Step 5: Solve for x
    x = 177,447,350,025/304,037
  6. Step 6: Final answer
    x = 583,637.35

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.