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Finding the Third Proportional to 10,125 and 20,751

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Solution

The third proportional to 10,125 and 20,751 is: 42,528.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,125 : 20,751 = 20,751 : x
  2. Step 2: Convert to fraction form
    10,125/20,751 = 20,751/x
  3. Step 3: Cross multiply
    10,125x = 20,751 × 20,751
  4. Step 4: Simplify right side
    10,125x = 430,604,001
  5. Step 5: Solve for x
    x = 430,604,001/10,125
  6. Step 6: Final answer
    x = 42,528.79

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.