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Finding the Third Proportional to 82,100.25 and 104,904.75

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Solution

The third proportional to 82,100.25 and 104,904.75 is: 134,043.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,100.25 : 104,904.75 = 104,904.75 : x
  2. Step 2: Convert to fraction form
    82,100.25/104,904.75 = 104,904.75/x
  3. Step 3: Cross multiply
    82,100.25x = 104,904.75 × 104,904.75
  4. Step 4: Simplify right side
    82,100.25x = 11,005,006,572.56
  5. Step 5: Solve for x
    x = 11,005,006,572.56/82,100.25
  6. Step 6: Final answer
    x = 134,043.52

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.