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Finding the Third Proportional to 7,950 and 12,139.50

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Solution

The third proportional to 7,950 and 12,139.50 is: 18,536.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,950 : 12,139.50 = 12,139.50 : x
  2. Step 2: Convert to fraction form
    7,950/12,139.50 = 12,139.50/x
  3. Step 3: Cross multiply
    7,950x = 12,139.50 × 12,139.50
  4. Step 4: Simplify right side
    7,950x = 147,367,460.25
  5. Step 5: Solve for x
    x = 147,367,460.25/7,950
  6. Step 6: Final answer
    x = 18,536.79

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.