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Finding the Third Proportional to 10,309 and 11,767

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Solution

The third proportional to 10,309 and 11,767 is: 13,431.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,309 : 11,767 = 11,767 : x
  2. Step 2: Convert to fraction form
    10,309/11,767 = 11,767/x
  3. Step 3: Cross multiply
    10,309x = 11,767 × 11,767
  4. Step 4: Simplify right side
    10,309x = 138,462,289
  5. Step 5: Solve for x
    x = 138,462,289/10,309
  6. Step 6: Final answer
    x = 13,431.20

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.