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Finding the Third Proportional to 18,640 and 40,672

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Solution

The third proportional to 18,640 and 40,672 is: 88,745.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,640 : 40,672 = 40,672 : x
  2. Step 2: Convert to fraction form
    18,640/40,672 = 40,672/x
  3. Step 3: Cross multiply
    18,640x = 40,672 × 40,672
  4. Step 4: Simplify right side
    18,640x = 1,654,211,584
  5. Step 5: Solve for x
    x = 1,654,211,584/18,640
  6. Step 6: Final answer
    x = 88,745.26

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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.