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Finding the Third Proportional to 7,480.31 and 11,075.81

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Solution

The third proportional to 7,480.31 and 11,075.81 is: 16,399.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,480.31 : 11,075.81 = 11,075.81 : x
  2. Step 2: Convert to fraction form
    7,480.31/11,075.81 = 11,075.81/x
  3. Step 3: Cross multiply
    7,480.31x = 11,075.81 × 11,075.81
  4. Step 4: Simplify right side
    7,480.31x = 122,673,622.54
  5. Step 5: Solve for x
    x = 122,673,622.54/7,480.31
  6. Step 6: Final answer
    x = 16,399.53

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.