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Finding the Third Proportional to 2,075.38 and 3,120.88

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Solution

The third proportional to 2,075.38 and 3,120.88 is: 4,693.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.38 : 3,120.88 = 3,120.88 : x
  2. Step 2: Convert to fraction form
    2,075.38/3,120.88 = 3,120.88/x
  3. Step 3: Cross multiply
    2,075.38x = 3,120.88 × 3,120.88
  4. Step 4: Simplify right side
    2,075.38x = 9,739,860.77
  5. Step 5: Solve for x
    x = 9,739,860.77/2,075.38
  6. Step 6: Final answer
    x = 4,693.06

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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.