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Finding the Third Proportional to 3,363.75 and 6,302.25

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Solution

The third proportional to 3,363.75 and 6,302.25 is: 11,807.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,363.75 : 6,302.25 = 6,302.25 : x
  2. Step 2: Convert to fraction form
    3,363.75/6,302.25 = 6,302.25/x
  3. Step 3: Cross multiply
    3,363.75x = 6,302.25 × 6,302.25
  4. Step 4: Simplify right side
    3,363.75x = 39,718,355.06
  5. Step 5: Solve for x
    x = 39,718,355.06/3,363.75
  6. Step 6: Final answer
    x = 11,807.76

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.