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Finding the Third Proportional to 10,780 and 15,751

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Solution

The third proportional to 10,780 and 15,751 is: 23,014.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,780 : 15,751 = 15,751 : x
  2. Step 2: Convert to fraction form
    10,780/15,751 = 15,751/x
  3. Step 3: Cross multiply
    10,780x = 15,751 × 15,751
  4. Step 4: Simplify right side
    10,780x = 248,094,001
  5. Step 5: Solve for x
    x = 248,094,001/10,780
  6. Step 6: Final answer
    x = 23,014.29

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.