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Finding the Third Proportional to 211,328 and 440,368

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Solution

The third proportional to 211,328 and 440,368 is: 917,644.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,328 : 440,368 = 440,368 : x
  2. Step 2: Convert to fraction form
    211,328/440,368 = 440,368/x
  3. Step 3: Cross multiply
    211,328x = 440,368 × 440,368
  4. Step 4: Simplify right side
    211,328x = 193,923,975,424
  5. Step 5: Solve for x
    x = 193,923,975,424/211,328
  6. Step 6: Final answer
    x = 917,644.49

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.