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Finding the Third Proportional to 27,636 and 39,090

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Solution

The third proportional to 27,636 and 39,090 is: 55,291.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,636 : 39,090 = 39,090 : x
  2. Step 2: Convert to fraction form
    27,636/39,090 = 39,090/x
  3. Step 3: Cross multiply
    27,636x = 39,090 × 39,090
  4. Step 4: Simplify right side
    27,636x = 1,528,028,100
  5. Step 5: Solve for x
    x = 1,528,028,100/27,636
  6. Step 6: Final answer
    x = 55,291.22

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.