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Finding the Third Proportional to 72,005 and 108,007

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Solution

The third proportional to 72,005 and 108,007 is: 162,009.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,005 : 108,007 = 108,007 : x
  2. Step 2: Convert to fraction form
    72,005/108,007 = 108,007/x
  3. Step 3: Cross multiply
    72,005x = 108,007 × 108,007
  4. Step 4: Simplify right side
    72,005x = 11,665,512,049
  5. Step 5: Solve for x
    x = 11,665,512,049/72,005
  6. Step 6: Final answer
    x = 162,009.75

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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.