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Finding the Third Proportional to 12,626 and 19,807

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Solution

The third proportional to 12,626 and 19,807 is: 31,072.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,626 : 19,807 = 19,807 : x
  2. Step 2: Convert to fraction form
    12,626/19,807 = 19,807/x
  3. Step 3: Cross multiply
    12,626x = 19,807 × 19,807
  4. Step 4: Simplify right side
    12,626x = 392,317,249
  5. Step 5: Solve for x
    x = 392,317,249/12,626
  6. Step 6: Final answer
    x = 31,072.17

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.