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Finding the Third Proportional to 72,000.75 and 108,993

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Solution

The third proportional to 72,000.75 and 108,993 is: 164,990.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,000.75 : 108,993 = 108,993 : x
  2. Step 2: Convert to fraction form
    72,000.75/108,993 = 108,993/x
  3. Step 3: Cross multiply
    72,000.75x = 108,993 × 108,993
  4. Step 4: Simplify right side
    72,000.75x = 11,879,474,049
  5. Step 5: Solve for x
    x = 11,879,474,049/72,000.75
  6. Step 6: Final answer
    x = 164,990.98

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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.