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Finding the Third Proportional to 419,148 and 905,256

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Solution

The third proportional to 419,148 and 905,256 is: 1,955,129.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,148 : 905,256 = 905,256 : x
  2. Step 2: Convert to fraction form
    419,148/905,256 = 905,256/x
  3. Step 3: Cross multiply
    419,148x = 905,256 × 905,256
  4. Step 4: Simplify right side
    419,148x = 819,488,425,536
  5. Step 5: Solve for x
    x = 819,488,425,536/419,148
  6. Step 6: Final answer
    x = 1,955,129.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.