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Finding the Third Proportional to 777.09 and 1,679.48

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Solution

The third proportional to 777.09 and 1,679.48 is: 3,629.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.09 : 1,679.48 = 1,679.48 : x
  2. Step 2: Convert to fraction form
    777.09/1,679.48 = 1,679.48/x
  3. Step 3: Cross multiply
    777.09x = 1,679.48 × 1,679.48
  4. Step 4: Simplify right side
    777.09x = 2,820,667.77
  5. Step 5: Solve for x
    x = 2,820,667.77/777.09
  6. Step 6: Final answer
    x = 3,629.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.