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Finding the Third Proportional to 211,747.50 and 440,991

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Solution

The third proportional to 211,747.50 and 440,991 is: 918,419.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,747.50 : 440,991 = 440,991 : x
  2. Step 2: Convert to fraction form
    211,747.50/440,991 = 440,991/x
  3. Step 3: Cross multiply
    211,747.50x = 440,991 × 440,991
  4. Step 4: Simplify right side
    211,747.50x = 194,473,062,081
  5. Step 5: Solve for x
    x = 194,473,062,081/211,747.50
  6. Step 6: Final answer
    x = 918,419.64

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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.