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Finding the Third Proportional to 2,958 and 6,199.50

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Solution

The third proportional to 2,958 and 6,199.50 is: 12,993.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,958 : 6,199.50 = 6,199.50 : x
  2. Step 2: Convert to fraction form
    2,958/6,199.50 = 6,199.50/x
  3. Step 3: Cross multiply
    2,958x = 6,199.50 × 6,199.50
  4. Step 4: Simplify right side
    2,958x = 38,433,800.25
  5. Step 5: Solve for x
    x = 38,433,800.25/2,958
  6. Step 6: Final answer
    x = 12,993.17

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.