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Finding the Third Proportional to 8,342 and 12,878

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Solution

The third proportional to 8,342 and 12,878 is: 19,880.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342 : 12,878 = 12,878 : x
  2. Step 2: Convert to fraction form
    8,342/12,878 = 12,878/x
  3. Step 3: Cross multiply
    8,342x = 12,878 × 12,878
  4. Step 4: Simplify right side
    8,342x = 165,842,884
  5. Step 5: Solve for x
    x = 165,842,884/8,342
  6. Step 6: Final answer
    x = 19,880.47

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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.