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Finding the Third Proportional to 205,065 and 450,456

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Solution

The third proportional to 205,065 and 450,456 is: 989,494.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,065 : 450,456 = 450,456 : x
  2. Step 2: Convert to fraction form
    205,065/450,456 = 450,456/x
  3. Step 3: Cross multiply
    205,065x = 450,456 × 450,456
  4. Step 4: Simplify right side
    205,065x = 202,910,607,936
  5. Step 5: Solve for x
    x = 202,910,607,936/205,065
  6. Step 6: Final answer
    x = 989,494.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.