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Finding the Third Proportional to 7,886 and 12,378

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Solution

The third proportional to 7,886 and 12,378 is: 19,428.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,886 : 12,378 = 12,378 : x
  2. Step 2: Convert to fraction form
    7,886/12,378 = 12,378/x
  3. Step 3: Cross multiply
    7,886x = 12,378 × 12,378
  4. Step 4: Simplify right side
    7,886x = 153,214,884
  5. Step 5: Solve for x
    x = 153,214,884/7,886
  6. Step 6: Final answer
    x = 19,428.72

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.