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Finding the Third Proportional to 305,302 and 449,119

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Solution

The third proportional to 305,302 and 449,119 is: 660,683.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,302 : 449,119 = 449,119 : x
  2. Step 2: Convert to fraction form
    305,302/449,119 = 449,119/x
  3. Step 3: Cross multiply
    305,302x = 449,119 × 449,119
  4. Step 4: Simplify right side
    305,302x = 201,707,876,161
  5. Step 5: Solve for x
    x = 201,707,876,161/305,302
  6. Step 6: Final answer
    x = 660,683.11

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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.