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Finding the Third Proportional to 7,977.88 and 12,178.92

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Solution

The third proportional to 7,977.88 and 12,178.92 is: 18,592.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,977.88 : 12,178.92 = 12,178.92 : x
  2. Step 2: Convert to fraction form
    7,977.88/12,178.92 = 12,178.92/x
  3. Step 3: Cross multiply
    7,977.88x = 12,178.92 × 12,178.92
  4. Step 4: Simplify right side
    7,977.88x = 148,326,185.56
  5. Step 5: Solve for x
    x = 148,326,185.56/7,977.88
  6. Step 6: Final answer
    x = 18,592.18

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Why These Related Problems?

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