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Finding the Third Proportional to 218,152.50 and 320,046.75

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Solution

The third proportional to 218,152.50 and 320,046.75 is: 469,533.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,152.50 : 320,046.75 = 320,046.75 : x
  2. Step 2: Convert to fraction form
    218,152.50/320,046.75 = 320,046.75/x
  3. Step 3: Cross multiply
    218,152.50x = 320,046.75 × 320,046.75
  4. Step 4: Simplify right side
    218,152.50x = 102,429,922,185.56
  5. Step 5: Solve for x
    x = 102,429,922,185.56/218,152.50
  6. Step 6: Final answer
    x = 469,533.57

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.