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Finding the Third Proportional to 211,300 and 440,168

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Solution

The third proportional to 211,300 and 440,168 is: 916,932.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,300 : 440,168 = 440,168 : x
  2. Step 2: Convert to fraction form
    211,300/440,168 = 440,168/x
  3. Step 3: Cross multiply
    211,300x = 440,168 × 440,168
  4. Step 4: Simplify right side
    211,300x = 193,747,868,224
  5. Step 5: Solve for x
    x = 193,747,868,224/211,300
  6. Step 6: Final answer
    x = 916,932.65

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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.