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Finding the Third Proportional to 215,824 and 440,208

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Solution

The third proportional to 215,824 and 440,208 is: 897,875.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,824 : 440,208 = 440,208 : x
  2. Step 2: Convert to fraction form
    215,824/440,208 = 440,208/x
  3. Step 3: Cross multiply
    215,824x = 440,208 × 440,208
  4. Step 4: Simplify right side
    215,824x = 193,783,083,264
  5. Step 5: Solve for x
    x = 193,783,083,264/215,824
  6. Step 6: Final answer
    x = 897,875.51

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.