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Finding the Third Proportional to 8,631 and 12,942

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Solution

The third proportional to 8,631 and 12,942 is: 19,406.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,631 : 12,942 = 12,942 : x
  2. Step 2: Convert to fraction form
    8,631/12,942 = 12,942/x
  3. Step 3: Cross multiply
    8,631x = 12,942 × 12,942
  4. Step 4: Simplify right side
    8,631x = 167,495,364
  5. Step 5: Solve for x
    x = 167,495,364/8,631
  6. Step 6: Final answer
    x = 19,406.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.