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Finding the Third Proportional to 211,776.75 and 412,912.13

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Solution

The third proportional to 211,776.75 and 412,912.13 is: 805,076.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,776.75 : 412,912.13 = 412,912.13 : x
  2. Step 2: Convert to fraction form
    211,776.75/412,912.13 = 412,912.13/x
  3. Step 3: Cross multiply
    211,776.75x = 412,912.13 × 412,912.13
  4. Step 4: Simplify right side
    211,776.75x = 170,496,422,972.02
  5. Step 5: Solve for x
    x = 170,496,422,972.02/211,776.75
  6. Step 6: Final answer
    x = 805,076.21

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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.