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Finding the Third Proportional to 420,917 and 925,909

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Solution

The third proportional to 420,917 and 925,909 is: 2,036,761.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,917 : 925,909 = 925,909 : x
  2. Step 2: Convert to fraction form
    420,917/925,909 = 925,909/x
  3. Step 3: Cross multiply
    420,917x = 925,909 × 925,909
  4. Step 4: Simplify right side
    420,917x = 857,307,476,281
  5. Step 5: Solve for x
    x = 857,307,476,281/420,917
  6. Step 6: Final answer
    x = 2,036,761.35

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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.