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Finding the Third Proportional to 72,074 and 108,975

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Solution

The third proportional to 72,074 and 108,975 is: 164,768.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,074 : 108,975 = 108,975 : x
  2. Step 2: Convert to fraction form
    72,074/108,975 = 108,975/x
  3. Step 3: Cross multiply
    72,074x = 108,975 × 108,975
  4. Step 4: Simplify right side
    72,074x = 11,875,550,625
  5. Step 5: Solve for x
    x = 11,875,550,625/72,074
  6. Step 6: Final answer
    x = 164,768.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.