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Finding the Third Proportional to 71,028 and 107,838

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Solution

The third proportional to 71,028 and 107,838 is: 163,724.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,028 : 107,838 = 107,838 : x
  2. Step 2: Convert to fraction form
    71,028/107,838 = 107,838/x
  3. Step 3: Cross multiply
    71,028x = 107,838 × 107,838
  4. Step 4: Simplify right side
    71,028x = 11,629,034,244
  5. Step 5: Solve for x
    x = 11,629,034,244/71,028
  6. Step 6: Final answer
    x = 163,724.65

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.