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Finding the Third Proportional to 82,768.50 and 131,149.50

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Solution

The third proportional to 82,768.50 and 131,149.50 is: 207,810.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,768.50 : 131,149.50 = 131,149.50 : x
  2. Step 2: Convert to fraction form
    82,768.50/131,149.50 = 131,149.50/x
  3. Step 3: Cross multiply
    82,768.50x = 131,149.50 × 131,149.50
  4. Step 4: Simplify right side
    82,768.50x = 17,200,191,350.25
  5. Step 5: Solve for x
    x = 17,200,191,350.25/82,768.50
  6. Step 6: Final answer
    x = 207,810.84

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.