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Finding the Third Proportional to 3,075 and 6,783

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Solution

The third proportional to 3,075 and 6,783 is: 14,962.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075 : 6,783 = 6,783 : x
  2. Step 2: Convert to fraction form
    3,075/6,783 = 6,783/x
  3. Step 3: Cross multiply
    3,075x = 6,783 × 6,783
  4. Step 4: Simplify right side
    3,075x = 46,009,089
  5. Step 5: Solve for x
    x = 46,009,089/3,075
  6. Step 6: Final answer
    x = 14,962.31

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.