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Finding the Third Proportional to 8,434 and 12,906

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Solution

The third proportional to 8,434 and 12,906 is: 19,749.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434 : 12,906 = 12,906 : x
  2. Step 2: Convert to fraction form
    8,434/12,906 = 12,906/x
  3. Step 3: Cross multiply
    8,434x = 12,906 × 12,906
  4. Step 4: Simplify right side
    8,434x = 166,564,836
  5. Step 5: Solve for x
    x = 166,564,836/8,434
  6. Step 6: Final answer
    x = 19,749.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.