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Finding the Third Proportional to 3,776.25 and 6,240.75

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Solution

The third proportional to 3,776.25 and 6,240.75 is: 10,313.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.25 : 6,240.75 = 6,240.75 : x
  2. Step 2: Convert to fraction form
    3,776.25/6,240.75 = 6,240.75/x
  3. Step 3: Cross multiply
    3,776.25x = 6,240.75 × 6,240.75
  4. Step 4: Simplify right side
    3,776.25x = 38,946,960.56
  5. Step 5: Solve for x
    x = 38,946,960.56/3,776.25
  6. Step 6: Final answer
    x = 10,313.66

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.