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Finding the Third Proportional to 75,512 and 105,851

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Solution

The third proportional to 75,512 and 105,851 is: 148,379.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,512 : 105,851 = 105,851 : x
  2. Step 2: Convert to fraction form
    75,512/105,851 = 105,851/x
  3. Step 3: Cross multiply
    75,512x = 105,851 × 105,851
  4. Step 4: Simplify right side
    75,512x = 11,204,434,201
  5. Step 5: Solve for x
    x = 11,204,434,201/75,512
  6. Step 6: Final answer
    x = 148,379.52

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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.