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Finding the Third Proportional to 12,930 and 18,767

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Solution

The third proportional to 12,930 and 18,767 is: 27,239.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,930 : 18,767 = 18,767 : x
  2. Step 2: Convert to fraction form
    12,930/18,767 = 18,767/x
  3. Step 3: Cross multiply
    12,930x = 18,767 × 18,767
  4. Step 4: Simplify right side
    12,930x = 352,200,289
  5. Step 5: Solve for x
    x = 352,200,289/12,930
  6. Step 6: Final answer
    x = 27,239.00

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.