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Finding the Third Proportional to 218,354.63 and 477,191.25

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Solution

The third proportional to 218,354.63 and 477,191.25 is: 1,042,851.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,354.63 : 477,191.25 = 477,191.25 : x
  2. Step 2: Convert to fraction form
    218,354.63/477,191.25 = 477,191.25/x
  3. Step 3: Cross multiply
    218,354.63x = 477,191.25 × 477,191.25
  4. Step 4: Simplify right side
    218,354.63x = 227,711,489,076.56
  5. Step 5: Solve for x
    x = 227,711,489,076.56/218,354.63
  6. Step 6: Final answer
    x = 1,042,851.69

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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.