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Finding the Third Proportional to 1,950.33 and 3,607.03

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Solution

The third proportional to 1,950.33 and 3,607.03 is: 6,671.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,950.33 : 3,607.03 = 3,607.03 : x
  2. Step 2: Convert to fraction form
    1,950.33/3,607.03 = 3,607.03/x
  3. Step 3: Cross multiply
    1,950.33x = 3,607.03 × 3,607.03
  4. Step 4: Simplify right side
    1,950.33x = 13,010,674.44
  5. Step 5: Solve for x
    x = 13,010,674.44/1,950.33
  6. Step 6: Final answer
    x = 6,671.02

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.