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Finding the Third Proportional to 305,696 and 449,148

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Solution

The third proportional to 305,696 and 449,148 is: 659,916.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,696 : 449,148 = 449,148 : x
  2. Step 2: Convert to fraction form
    305,696/449,148 = 449,148/x
  3. Step 3: Cross multiply
    305,696x = 449,148 × 449,148
  4. Step 4: Simplify right side
    305,696x = 201,733,925,904
  5. Step 5: Solve for x
    x = 201,733,925,904/305,696
  6. Step 6: Final answer
    x = 659,916.80

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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.