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Finding the Third Proportional to 129,859.50 and 195,165

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Solution

The third proportional to 129,859.50 and 195,165 is: 293,312.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,859.50 : 195,165 = 195,165 : x
  2. Step 2: Convert to fraction form
    129,859.50/195,165 = 195,165/x
  3. Step 3: Cross multiply
    129,859.50x = 195,165 × 195,165
  4. Step 4: Simplify right side
    129,859.50x = 38,089,377,225
  5. Step 5: Solve for x
    x = 38,089,377,225/129,859.50
  6. Step 6: Final answer
    x = 293,312.21

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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.