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Finding the Third Proportional to 17,640 and 39,718

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Solution

The third proportional to 17,640 and 39,718 is: 89,428.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,640 : 39,718 = 39,718 : x
  2. Step 2: Convert to fraction form
    17,640/39,718 = 39,718/x
  3. Step 3: Cross multiply
    17,640x = 39,718 × 39,718
  4. Step 4: Simplify right side
    17,640x = 1,577,519,524
  5. Step 5: Solve for x
    x = 1,577,519,524/17,640
  6. Step 6: Final answer
    x = 89,428.54

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.