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Finding the Third Proportional to 39,723 and 84,975

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Solution

The third proportional to 39,723 and 84,975 is: 181,777.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,723 : 84,975 = 84,975 : x
  2. Step 2: Convert to fraction form
    39,723/84,975 = 84,975/x
  3. Step 3: Cross multiply
    39,723x = 84,975 × 84,975
  4. Step 4: Simplify right side
    39,723x = 7,220,750,625
  5. Step 5: Solve for x
    x = 7,220,750,625/39,723
  6. Step 6: Final answer
    x = 181,777.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.