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Finding the Third Proportional to 7,138 and 10,976

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Solution

The third proportional to 7,138 and 10,976 is: 16,877.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138 : 10,976 = 10,976 : x
  2. Step 2: Convert to fraction form
    7,138/10,976 = 10,976/x
  3. Step 3: Cross multiply
    7,138x = 10,976 × 10,976
  4. Step 4: Simplify right side
    7,138x = 120,472,576
  5. Step 5: Solve for x
    x = 120,472,576/7,138
  6. Step 6: Final answer
    x = 16,877.64

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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.