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Finding the Third Proportional to 79,284 and 108,721

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Solution

The third proportional to 79,284 and 108,721 is: 149,087.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,284 : 108,721 = 108,721 : x
  2. Step 2: Convert to fraction form
    79,284/108,721 = 108,721/x
  3. Step 3: Cross multiply
    79,284x = 108,721 × 108,721
  4. Step 4: Simplify right side
    79,284x = 11,820,255,841
  5. Step 5: Solve for x
    x = 11,820,255,841/79,284
  6. Step 6: Final answer
    x = 149,087.53

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.