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Finding the Third Proportional to 5,106 and 12,306

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Solution

The third proportional to 5,106 and 12,306 is: 29,658.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,106 : 12,306 = 12,306 : x
  2. Step 2: Convert to fraction form
    5,106/12,306 = 12,306/x
  3. Step 3: Cross multiply
    5,106x = 12,306 × 12,306
  4. Step 4: Simplify right side
    5,106x = 151,437,636
  5. Step 5: Solve for x
    x = 151,437,636/5,106
  6. Step 6: Final answer
    x = 29,658.76

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.