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Finding the Third Proportional to 75,619 and 102,759

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Solution

The third proportional to 75,619 and 102,759 is: 139,639.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,619 : 102,759 = 102,759 : x
  2. Step 2: Convert to fraction form
    75,619/102,759 = 102,759/x
  3. Step 3: Cross multiply
    75,619x = 102,759 × 102,759
  4. Step 4: Simplify right side
    75,619x = 10,559,412,081
  5. Step 5: Solve for x
    x = 10,559,412,081/75,619
  6. Step 6: Final answer
    x = 139,639.67

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.