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Finding the Third Proportional to 39,763 and 86,538

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Solution

The third proportional to 39,763 and 86,538 is: 188,336.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,763 : 86,538 = 86,538 : x
  2. Step 2: Convert to fraction form
    39,763/86,538 = 86,538/x
  3. Step 3: Cross multiply
    39,763x = 86,538 × 86,538
  4. Step 4: Simplify right side
    39,763x = 7,488,825,444
  5. Step 5: Solve for x
    x = 7,488,825,444/39,763
  6. Step 6: Final answer
    x = 188,336.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.