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Finding the Third Proportional to 211,356 and 440,208

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Solution

The third proportional to 211,356 and 440,208 is: 916,856.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,356 : 440,208 = 440,208 : x
  2. Step 2: Convert to fraction form
    211,356/440,208 = 440,208/x
  3. Step 3: Cross multiply
    211,356x = 440,208 × 440,208
  4. Step 4: Simplify right side
    211,356x = 193,783,083,264
  5. Step 5: Solve for x
    x = 193,783,083,264/211,356
  6. Step 6: Final answer
    x = 916,856.31

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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.