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Finding the Third Proportional to 84,619 and 200,480

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Solution

The third proportional to 84,619 and 200,480 is: 474,978.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,619 : 200,480 = 200,480 : x
  2. Step 2: Convert to fraction form
    84,619/200,480 = 200,480/x
  3. Step 3: Cross multiply
    84,619x = 200,480 × 200,480
  4. Step 4: Simplify right side
    84,619x = 40,192,230,400
  5. Step 5: Solve for x
    x = 40,192,230,400/84,619
  6. Step 6: Final answer
    x = 474,978.79

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.