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Finding the Third Proportional to 72,135.75 and 154,923

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Solution

The third proportional to 72,135.75 and 154,923 is: 332,721.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,135.75 : 154,923 = 154,923 : x
  2. Step 2: Convert to fraction form
    72,135.75/154,923 = 154,923/x
  3. Step 3: Cross multiply
    72,135.75x = 154,923 × 154,923
  4. Step 4: Simplify right side
    72,135.75x = 24,001,135,929
  5. Step 5: Solve for x
    x = 24,001,135,929/72,135.75
  6. Step 6: Final answer
    x = 332,721.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.