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Finding the Third Proportional to 218,674.50 and 480,153

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Solution

The third proportional to 218,674.50 and 480,153 is: 1,054,292.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,674.50 : 480,153 = 480,153 : x
  2. Step 2: Convert to fraction form
    218,674.50/480,153 = 480,153/x
  3. Step 3: Cross multiply
    218,674.50x = 480,153 × 480,153
  4. Step 4: Simplify right side
    218,674.50x = 230,546,903,409
  5. Step 5: Solve for x
    x = 230,546,903,409/218,674.50
  6. Step 6: Final answer
    x = 1,054,292.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.