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Finding the Third Proportional to 82,130 and 107,845

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Solution

The third proportional to 82,130 and 107,845 is: 141,611.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,130 : 107,845 = 107,845 : x
  2. Step 2: Convert to fraction form
    82,130/107,845 = 107,845/x
  3. Step 3: Cross multiply
    82,130x = 107,845 × 107,845
  4. Step 4: Simplify right side
    82,130x = 11,630,544,025
  5. Step 5: Solve for x
    x = 11,630,544,025/82,130
  6. Step 6: Final answer
    x = 141,611.40

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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.