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Finding the Third Proportional to 72,001 and 108,001

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Solution

The third proportional to 72,001 and 108,001 is: 162,000.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,001 : 108,001 = 108,001 : x
  2. Step 2: Convert to fraction form
    72,001/108,001 = 108,001/x
  3. Step 3: Cross multiply
    72,001x = 108,001 × 108,001
  4. Step 4: Simplify right side
    72,001x = 11,664,216,001
  5. Step 5: Solve for x
    x = 11,664,216,001/72,001
  6. Step 6: Final answer
    x = 162,000.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.