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Finding the Third Proportional to 1,665.56 and 4,077.84

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Solution

The third proportional to 1,665.56 and 4,077.84 is: 9,983.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.56 : 4,077.84 = 4,077.84 : x
  2. Step 2: Convert to fraction form
    1,665.56/4,077.84 = 4,077.84/x
  3. Step 3: Cross multiply
    1,665.56x = 4,077.84 × 4,077.84
  4. Step 4: Simplify right side
    1,665.56x = 16,628,809.65
  5. Step 5: Solve for x
    x = 16,628,809.65/1,665.56
  6. Step 6: Final answer
    x = 9,983.90

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.