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Finding the Third Proportional to 211,449 and 440,392.50

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Solution

The third proportional to 211,449 and 440,392.50 is: 917,221.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,449 : 440,392.50 = 440,392.50 : x
  2. Step 2: Convert to fraction form
    211,449/440,392.50 = 440,392.50/x
  3. Step 3: Cross multiply
    211,449x = 440,392.50 × 440,392.50
  4. Step 4: Simplify right side
    211,449x = 193,945,554,056.25
  5. Step 5: Solve for x
    x = 193,945,554,056.25/211,449
  6. Step 6: Final answer
    x = 917,221.43

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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.