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Finding the Third Proportional to 81,756.75 and 122,716.50

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Solution

The third proportional to 81,756.75 and 122,716.50 is: 184,196.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,756.75 : 122,716.50 = 122,716.50 : x
  2. Step 2: Convert to fraction form
    81,756.75/122,716.50 = 122,716.50/x
  3. Step 3: Cross multiply
    81,756.75x = 122,716.50 × 122,716.50
  4. Step 4: Simplify right side
    81,756.75x = 15,059,339,372.25
  5. Step 5: Solve for x
    x = 15,059,339,372.25/81,756.75
  6. Step 6: Final answer
    x = 184,196.89

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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.