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Finding the Third Proportional to 101,109.50 and 152,919.50

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Solution

The third proportional to 101,109.50 and 152,919.50 is: 231,277.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,109.50 : 152,919.50 = 152,919.50 : x
  2. Step 2: Convert to fraction form
    101,109.50/152,919.50 = 152,919.50/x
  3. Step 3: Cross multiply
    101,109.50x = 152,919.50 × 152,919.50
  4. Step 4: Simplify right side
    101,109.50x = 23,384,373,480.25
  5. Step 5: Solve for x
    x = 23,384,373,480.25/101,109.50
  6. Step 6: Final answer
    x = 231,277.71

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.