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Finding the Third Proportional to 18,403 and 39,721

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Solution

The third proportional to 18,403 and 39,721 is: 85,733.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,403 : 39,721 = 39,721 : x
  2. Step 2: Convert to fraction form
    18,403/39,721 = 39,721/x
  3. Step 3: Cross multiply
    18,403x = 39,721 × 39,721
  4. Step 4: Simplify right side
    18,403x = 1,577,757,841
  5. Step 5: Solve for x
    x = 1,577,757,841/18,403
  6. Step 6: Final answer
    x = 85,733.73

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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.