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Finding the Third Proportional to 38,780 and 83,751

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Solution

The third proportional to 38,780 and 83,751 is: 180,872.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,780 : 83,751 = 83,751 : x
  2. Step 2: Convert to fraction form
    38,780/83,751 = 83,751/x
  3. Step 3: Cross multiply
    38,780x = 83,751 × 83,751
  4. Step 4: Simplify right side
    38,780x = 7,014,230,001
  5. Step 5: Solve for x
    x = 7,014,230,001/38,780
  6. Step 6: Final answer
    x = 180,872.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.