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Finding the Third Proportional to 82,129.50 and 107,840.25

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Solution

The third proportional to 82,129.50 and 107,840.25 is: 141,599.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,129.50 : 107,840.25 = 107,840.25 : x
  2. Step 2: Convert to fraction form
    82,129.50/107,840.25 = 107,840.25/x
  3. Step 3: Cross multiply
    82,129.50x = 107,840.25 × 107,840.25
  4. Step 4: Simplify right side
    82,129.50x = 11,629,519,520.06
  5. Step 5: Solve for x
    x = 11,629,519,520.06/82,129.50
  6. Step 6: Final answer
    x = 141,599.78

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.