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Finding the Third Proportional to 218,299.50 and 477,181

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Solution

The third proportional to 218,299.50 and 477,181 is: 1,043,070.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,299.50 : 477,181 = 477,181 : x
  2. Step 2: Convert to fraction form
    218,299.50/477,181 = 477,181/x
  3. Step 3: Cross multiply
    218,299.50x = 477,181 × 477,181
  4. Step 4: Simplify right side
    218,299.50x = 227,701,706,761
  5. Step 5: Solve for x
    x = 227,701,706,761/218,299.50
  6. Step 6: Final answer
    x = 1,043,070.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.