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Finding the Third Proportional to 237,100.50 and 421,571.25

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Solution

The third proportional to 237,100.50 and 421,571.25 is: 749,565.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,100.50 : 421,571.25 = 421,571.25 : x
  2. Step 2: Convert to fraction form
    237,100.50/421,571.25 = 421,571.25/x
  3. Step 3: Cross multiply
    237,100.50x = 421,571.25 × 421,571.25
  4. Step 4: Simplify right side
    237,100.50x = 177,722,318,826.56
  5. Step 5: Solve for x
    x = 177,722,318,826.56/237,100.50
  6. Step 6: Final answer
    x = 749,565.35

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.