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Finding the Third Proportional to 11,540 and 12,740

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Solution

The third proportional to 11,540 and 12,740 is: 14,064.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,540 : 12,740 = 12,740 : x
  2. Step 2: Convert to fraction form
    11,540/12,740 = 12,740/x
  3. Step 3: Cross multiply
    11,540x = 12,740 × 12,740
  4. Step 4: Simplify right side
    11,540x = 162,307,600
  5. Step 5: Solve for x
    x = 162,307,600/11,540
  6. Step 6: Final answer
    x = 14,064.78

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.