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Finding the Third Proportional to 7,123 and 7,747

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Solution

The third proportional to 7,123 and 7,747 is: 8,425.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,123 : 7,747 = 7,747 : x
  2. Step 2: Convert to fraction form
    7,123/7,747 = 7,747/x
  3. Step 3: Cross multiply
    7,123x = 7,747 × 7,747
  4. Step 4: Simplify right side
    7,123x = 60,016,009
  5. Step 5: Solve for x
    x = 60,016,009/7,123
  6. Step 6: Final answer
    x = 8,425.66

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.