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Finding the Third Proportional to 84,630 and 200,505

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Solution

The third proportional to 84,630 and 200,505 is: 475,035.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,630 : 200,505 = 200,505 : x
  2. Step 2: Convert to fraction form
    84,630/200,505 = 200,505/x
  3. Step 3: Cross multiply
    84,630x = 200,505 × 200,505
  4. Step 4: Simplify right side
    84,630x = 40,202,255,025
  5. Step 5: Solve for x
    x = 40,202,255,025/84,630
  6. Step 6: Final answer
    x = 475,035.51

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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.