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Finding the Third Proportional to 305,448 and 449,018

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Solution

The third proportional to 305,448 and 449,018 is: 660,070.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,448 : 449,018 = 449,018 : x
  2. Step 2: Convert to fraction form
    305,448/449,018 = 449,018/x
  3. Step 3: Cross multiply
    305,448x = 449,018 × 449,018
  4. Step 4: Simplify right side
    305,448x = 201,617,164,324
  5. Step 5: Solve for x
    x = 201,617,164,324/305,448
  6. Step 6: Final answer
    x = 660,070.34

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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.