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Finding the Third Proportional to 218,416.50 and 329,163.75

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Solution

The third proportional to 218,416.50 and 329,163.75 is: 496,064.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,416.50 : 329,163.75 = 329,163.75 : x
  2. Step 2: Convert to fraction form
    218,416.50/329,163.75 = 329,163.75/x
  3. Step 3: Cross multiply
    218,416.50x = 329,163.75 × 329,163.75
  4. Step 4: Simplify right side
    218,416.50x = 108,348,774,314.06
  5. Step 5: Solve for x
    x = 108,348,774,314.06/218,416.50
  6. Step 6: Final answer
    x = 496,064.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.