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Finding the Third Proportional to 306,381 and 449,268

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Solution

The third proportional to 306,381 and 449,268 is: 658,793.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,381 : 449,268 = 449,268 : x
  2. Step 2: Convert to fraction form
    306,381/449,268 = 449,268/x
  3. Step 3: Cross multiply
    306,381x = 449,268 × 449,268
  4. Step 4: Simplify right side
    306,381x = 201,841,735,824
  5. Step 5: Solve for x
    x = 201,841,735,824/306,381
  6. Step 6: Final answer
    x = 658,793.25

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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.