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Finding the Third Proportional to 75,540 and 105,876

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Solution

The third proportional to 75,540 and 105,876 is: 148,394.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,540 : 105,876 = 105,876 : x
  2. Step 2: Convert to fraction form
    75,540/105,876 = 105,876/x
  3. Step 3: Cross multiply
    75,540x = 105,876 × 105,876
  4. Step 4: Simplify right side
    75,540x = 11,209,727,376
  5. Step 5: Solve for x
    x = 11,209,727,376/75,540
  6. Step 6: Final answer
    x = 148,394.59

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.