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Finding the Third Proportional to 18,627 and 40,170

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Solution

The third proportional to 18,627 and 40,170 is: 86,628.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,627 : 40,170 = 40,170 : x
  2. Step 2: Convert to fraction form
    18,627/40,170 = 40,170/x
  3. Step 3: Cross multiply
    18,627x = 40,170 × 40,170
  4. Step 4: Simplify right side
    18,627x = 1,613,628,900
  5. Step 5: Solve for x
    x = 1,613,628,900/18,627
  6. Step 6: Final answer
    x = 86,628.49

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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.