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Finding the Third Proportional to 18,351 and 39,627

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Solution

The third proportional to 18,351 and 39,627 is: 85,570.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,351 : 39,627 = 39,627 : x
  2. Step 2: Convert to fraction form
    18,351/39,627 = 39,627/x
  3. Step 3: Cross multiply
    18,351x = 39,627 × 39,627
  4. Step 4: Simplify right side
    18,351x = 1,570,299,129
  5. Step 5: Solve for x
    x = 1,570,299,129/18,351
  6. Step 6: Final answer
    x = 85,570.22

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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.