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Finding the Third Proportional to 7,878 and 12,295

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Solution

The third proportional to 7,878 and 12,295 is: 19,188.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878 : 12,295 = 12,295 : x
  2. Step 2: Convert to fraction form
    7,878/12,295 = 12,295/x
  3. Step 3: Cross multiply
    7,878x = 12,295 × 12,295
  4. Step 4: Simplify right side
    7,878x = 151,167,025
  5. Step 5: Solve for x
    x = 151,167,025/7,878
  6. Step 6: Final answer
    x = 19,188.50

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.