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Finding the Third Proportional to 7,660 and 18,250

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Solution

The third proportional to 7,660 and 18,250 is: 43,480.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,660 : 18,250 = 18,250 : x
  2. Step 2: Convert to fraction form
    7,660/18,250 = 18,250/x
  3. Step 3: Cross multiply
    7,660x = 18,250 × 18,250
  4. Step 4: Simplify right side
    7,660x = 333,062,500
  5. Step 5: Solve for x
    x = 333,062,500/7,660
  6. Step 6: Final answer
    x = 43,480.74

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.