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Finding the Third Proportional to 211,780 and 412,918

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Solution

The third proportional to 211,780 and 412,918 is: 805,086.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,780 : 412,918 = 412,918 : x
  2. Step 2: Convert to fraction form
    211,780/412,918 = 412,918/x
  3. Step 3: Cross multiply
    211,780x = 412,918 × 412,918
  4. Step 4: Simplify right side
    211,780x = 170,501,274,724
  5. Step 5: Solve for x
    x = 170,501,274,724/211,780
  6. Step 6: Final answer
    x = 805,086.76

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.