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Finding the Third Proportional to 151,161.50 and 218,515

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Solution

The third proportional to 151,161.50 and 218,515 is: 315,879.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,161.50 : 218,515 = 218,515 : x
  2. Step 2: Convert to fraction form
    151,161.50/218,515 = 218,515/x
  3. Step 3: Cross multiply
    151,161.50x = 218,515 × 218,515
  4. Step 4: Simplify right side
    151,161.50x = 47,748,805,225
  5. Step 5: Solve for x
    x = 47,748,805,225/151,161.50
  6. Step 6: Final answer
    x = 315,879.41

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.