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Finding the Third Proportional to 215,986 and 440,604

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Solution

The third proportional to 215,986 and 440,604 is: 898,816.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,986 : 440,604 = 440,604 : x
  2. Step 2: Convert to fraction form
    215,986/440,604 = 440,604/x
  3. Step 3: Cross multiply
    215,986x = 440,604 × 440,604
  4. Step 4: Simplify right side
    215,986x = 194,131,884,816
  5. Step 5: Solve for x
    x = 194,131,884,816/215,986
  6. Step 6: Final answer
    x = 898,816.98

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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.