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Finding the Third Proportional to 52,407 and 78,759

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Solution

The third proportional to 52,407 and 78,759 is: 118,361.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,407 : 78,759 = 78,759 : x
  2. Step 2: Convert to fraction form
    52,407/78,759 = 78,759/x
  3. Step 3: Cross multiply
    52,407x = 78,759 × 78,759
  4. Step 4: Simplify right side
    52,407x = 6,202,980,081
  5. Step 5: Solve for x
    x = 6,202,980,081/52,407
  6. Step 6: Final answer
    x = 118,361.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.