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Finding the Third Proportional to 205,078 and 450,480

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Solution

The third proportional to 205,078 and 450,480 is: 989,536.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,078 : 450,480 = 450,480 : x
  2. Step 2: Convert to fraction form
    205,078/450,480 = 450,480/x
  3. Step 3: Cross multiply
    205,078x = 450,480 × 450,480
  4. Step 4: Simplify right side
    205,078x = 202,932,230,400
  5. Step 5: Solve for x
    x = 202,932,230,400/205,078
  6. Step 6: Final answer
    x = 989,536.81

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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.