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Finding the Third Proportional to 305,217 and 449,001

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Solution

The third proportional to 305,217 and 449,001 is: 660,519.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,217 : 449,001 = 449,001 : x
  2. Step 2: Convert to fraction form
    305,217/449,001 = 449,001/x
  3. Step 3: Cross multiply
    305,217x = 449,001 × 449,001
  4. Step 4: Simplify right side
    305,217x = 201,601,898,001
  5. Step 5: Solve for x
    x = 201,601,898,001/305,217
  6. Step 6: Final answer
    x = 660,519.89

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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.