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Finding the Third Proportional to 209,322 and 440,880

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Solution

The third proportional to 209,322 and 440,880 is: 928,594.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,322 : 440,880 = 440,880 : x
  2. Step 2: Convert to fraction form
    209,322/440,880 = 440,880/x
  3. Step 3: Cross multiply
    209,322x = 440,880 × 440,880
  4. Step 4: Simplify right side
    209,322x = 194,375,174,400
  5. Step 5: Solve for x
    x = 194,375,174,400/209,322
  6. Step 6: Final answer
    x = 928,594.10

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.