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Finding the Third Proportional to 6,052.13 and 9,075.19

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Solution

The third proportional to 6,052.13 and 9,075.19 is: 13,608.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,052.13 : 9,075.19 = 9,075.19 : x
  2. Step 2: Convert to fraction form
    6,052.13/9,075.19 = 9,075.19/x
  3. Step 3: Cross multiply
    6,052.13x = 9,075.19 × 9,075.19
  4. Step 4: Simplify right side
    6,052.13x = 82,359,028.16
  5. Step 5: Solve for x
    x = 82,359,028.16/6,052.13
  6. Step 6: Final answer
    x = 13,608.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.