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Finding the Third Proportional to 305,221 and 449,008

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Solution

The third proportional to 305,221 and 449,008 is: 660,531.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,221 : 449,008 = 449,008 : x
  2. Step 2: Convert to fraction form
    305,221/449,008 = 449,008/x
  3. Step 3: Cross multiply
    305,221x = 449,008 × 449,008
  4. Step 4: Simplify right side
    305,221x = 201,608,184,064
  5. Step 5: Solve for x
    x = 201,608,184,064/305,221
  6. Step 6: Final answer
    x = 660,531.82

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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.