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Finding the Third Proportional to 305,288 and 449,098

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Solution

The third proportional to 305,288 and 449,098 is: 660,651.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,288 : 449,098 = 449,098 : x
  2. Step 2: Convert to fraction form
    305,288/449,098 = 449,098/x
  3. Step 3: Cross multiply
    305,288x = 449,098 × 449,098
  4. Step 4: Simplify right side
    305,288x = 201,689,013,604
  5. Step 5: Solve for x
    x = 201,689,013,604/305,288
  6. Step 6: Final answer
    x = 660,651.63

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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.