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Finding the Third Proportional to 72,299.25 and 111,202.88

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Solution

The third proportional to 72,299.25 and 111,202.88 is: 171,040.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,299.25 : 111,202.88 = 111,202.88 : x
  2. Step 2: Convert to fraction form
    72,299.25/111,202.88 = 111,202.88/x
  3. Step 3: Cross multiply
    72,299.25x = 111,202.88 × 111,202.88
  4. Step 4: Simplify right side
    72,299.25x = 12,366,079,408.27
  5. Step 5: Solve for x
    x = 12,366,079,408.27/72,299.25
  6. Step 6: Final answer
    x = 171,040.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.