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Finding the Third Proportional to 305,221 and 449,007

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Solution

The third proportional to 305,221 and 449,007 is: 660,528.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,221 : 449,007 = 449,007 : x
  2. Step 2: Convert to fraction form
    305,221/449,007 = 449,007/x
  3. Step 3: Cross multiply
    305,221x = 449,007 × 449,007
  4. Step 4: Simplify right side
    305,221x = 201,607,286,049
  5. Step 5: Solve for x
    x = 201,607,286,049/305,221
  6. Step 6: Final answer
    x = 660,528.88

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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.