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Finding the Third Proportional to 211,749 and 440,922

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Solution

The third proportional to 211,749 and 440,922 is: 918,125.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,749 : 440,922 = 440,922 : x
  2. Step 2: Convert to fraction form
    211,749/440,922 = 440,922/x
  3. Step 3: Cross multiply
    211,749x = 440,922 × 440,922
  4. Step 4: Simplify right side
    211,749x = 194,412,210,084
  5. Step 5: Solve for x
    x = 194,412,210,084/211,749
  6. Step 6: Final answer
    x = 918,125.75

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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.