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Finding the Third Proportional to 420,326 and 902,860

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Solution

The third proportional to 420,326 and 902,860 is: 1,939,342.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,326 : 902,860 = 902,860 : x
  2. Step 2: Convert to fraction form
    420,326/902,860 = 902,860/x
  3. Step 3: Cross multiply
    420,326x = 902,860 × 902,860
  4. Step 4: Simplify right side
    420,326x = 815,156,179,600
  5. Step 5: Solve for x
    x = 815,156,179,600/420,326
  6. Step 6: Final answer
    x = 1,939,342.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.