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Finding the Third Proportional to 7,927 and 12,188.75

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Solution

The third proportional to 7,927 and 12,188.75 is: 18,741.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,927 : 12,188.75 = 12,188.75 : x
  2. Step 2: Convert to fraction form
    7,927/12,188.75 = 12,188.75/x
  3. Step 3: Cross multiply
    7,927x = 12,188.75 × 12,188.75
  4. Step 4: Simplify right side
    7,927x = 148,565,626.56
  5. Step 5: Solve for x
    x = 148,565,626.56/7,927
  6. Step 6: Final answer
    x = 18,741.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.