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Finding the Third Proportional to 1,992.38 and 3,200.06

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Solution

The third proportional to 1,992.38 and 3,200.06 is: 5,139.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.38 : 3,200.06 = 3,200.06 : x
  2. Step 2: Convert to fraction form
    1,992.38/3,200.06 = 3,200.06/x
  3. Step 3: Cross multiply
    1,992.38x = 3,200.06 × 3,200.06
  4. Step 4: Simplify right side
    1,992.38x = 10,240,400.00
  5. Step 5: Solve for x
    x = 10,240,400.00/1,992.38
  6. Step 6: Final answer
    x = 5,139.80

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.