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Finding the Third Proportional to 305,760 and 449,644.50

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Solution

The third proportional to 305,760 and 449,644.50 is: 661,238.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,760 : 449,644.50 = 449,644.50 : x
  2. Step 2: Convert to fraction form
    305,760/449,644.50 = 449,644.50/x
  3. Step 3: Cross multiply
    305,760x = 449,644.50 × 449,644.50
  4. Step 4: Simplify right side
    305,760x = 202,180,176,380.25
  5. Step 5: Solve for x
    x = 202,180,176,380.25/305,760
  6. Step 6: Final answer
    x = 661,238.15

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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.