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Finding the Third Proportional to 72,960 and 150,975

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Solution

The third proportional to 72,960 and 150,975 is: 312,410.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,960 : 150,975 = 150,975 : x
  2. Step 2: Convert to fraction form
    72,960/150,975 = 150,975/x
  3. Step 3: Cross multiply
    72,960x = 150,975 × 150,975
  4. Step 4: Simplify right side
    72,960x = 22,793,450,625
  5. Step 5: Solve for x
    x = 22,793,450,625/72,960
  6. Step 6: Final answer
    x = 312,410.23

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.