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Finding the Third Proportional to 349,958.25 and 558,168.75

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Solution

The third proportional to 349,958.25 and 558,168.75 is: 890,255.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,958.25 : 558,168.75 = 558,168.75 : x
  2. Step 2: Convert to fraction form
    349,958.25/558,168.75 = 558,168.75/x
  3. Step 3: Cross multiply
    349,958.25x = 558,168.75 × 558,168.75
  4. Step 4: Simplify right side
    349,958.25x = 311,552,353,476.56
  5. Step 5: Solve for x
    x = 311,552,353,476.56/349,958.25
  6. Step 6: Final answer
    x = 890,255.78

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.