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Finding the Third Proportional to 305,699 and 449,152

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Solution

The third proportional to 305,699 and 449,152 is: 659,922.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,699 : 449,152 = 449,152 : x
  2. Step 2: Convert to fraction form
    305,699/449,152 = 449,152/x
  3. Step 3: Cross multiply
    305,699x = 449,152 × 449,152
  4. Step 4: Simplify right side
    305,699x = 201,737,519,104
  5. Step 5: Solve for x
    x = 201,737,519,104/305,699
  6. Step 6: Final answer
    x = 659,922.08

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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.