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Finding the Third Proportional to 8,538 and 12,841

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Solution

The third proportional to 8,538 and 12,841 is: 19,312.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538 : 12,841 = 12,841 : x
  2. Step 2: Convert to fraction form
    8,538/12,841 = 12,841/x
  3. Step 3: Cross multiply
    8,538x = 12,841 × 12,841
  4. Step 4: Simplify right side
    8,538x = 164,891,281
  5. Step 5: Solve for x
    x = 164,891,281/8,538
  6. Step 6: Final answer
    x = 19,312.64

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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.