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Finding the Third Proportional to 10,780 and 11,772

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Solution

The third proportional to 10,780 and 11,772 is: 12,855.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,780 : 11,772 = 11,772 : x
  2. Step 2: Convert to fraction form
    10,780/11,772 = 11,772/x
  3. Step 3: Cross multiply
    10,780x = 11,772 × 11,772
  4. Step 4: Simplify right side
    10,780x = 138,579,984
  5. Step 5: Solve for x
    x = 138,579,984/10,780
  6. Step 6: Final answer
    x = 12,855.29

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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.