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Finding the Third Proportional to 141,493.50 and 192,260.25

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Solution

The third proportional to 141,493.50 and 192,260.25 is: 261,241.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,493.50 : 192,260.25 = 192,260.25 : x
  2. Step 2: Convert to fraction form
    141,493.50/192,260.25 = 192,260.25/x
  3. Step 3: Cross multiply
    141,493.50x = 192,260.25 × 192,260.25
  4. Step 4: Simplify right side
    141,493.50x = 36,964,003,730.06
  5. Step 5: Solve for x
    x = 36,964,003,730.06/141,493.50
  6. Step 6: Final answer
    x = 261,241.71

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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.