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Finding the Third Proportional to 78,573 and 121,761

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Solution

The third proportional to 78,573 and 121,761 is: 188,687.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,573 : 121,761 = 121,761 : x
  2. Step 2: Convert to fraction form
    78,573/121,761 = 121,761/x
  3. Step 3: Cross multiply
    78,573x = 121,761 × 121,761
  4. Step 4: Simplify right side
    78,573x = 14,825,741,121
  5. Step 5: Solve for x
    x = 14,825,741,121/78,573
  6. Step 6: Final answer
    x = 188,687.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.