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Finding the Third Proportional to 305,469 and 449,053

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Solution

The third proportional to 305,469 and 449,053 is: 660,127.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,469 : 449,053 = 449,053 : x
  2. Step 2: Convert to fraction form
    305,469/449,053 = 449,053/x
  3. Step 3: Cross multiply
    305,469x = 449,053 × 449,053
  4. Step 4: Simplify right side
    305,469x = 201,648,596,809
  5. Step 5: Solve for x
    x = 201,648,596,809/305,469
  6. Step 6: Final answer
    x = 660,127.86

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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.