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Finding the Third Proportional to 305,777 and 449,677

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Solution

The third proportional to 305,777 and 449,677 is: 661,296.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,777 : 449,677 = 449,677 : x
  2. Step 2: Convert to fraction form
    305,777/449,677 = 449,677/x
  3. Step 3: Cross multiply
    305,777x = 449,677 × 449,677
  4. Step 4: Simplify right side
    305,777x = 202,209,404,329
  5. Step 5: Solve for x
    x = 202,209,404,329/305,777
  6. Step 6: Final answer
    x = 661,296.97

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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.