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Finding the Third Proportional to 420,897 and 925,908

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Solution

The third proportional to 420,897 and 925,908 is: 2,036,853.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,897 : 925,908 = 925,908 : x
  2. Step 2: Convert to fraction form
    420,897/925,908 = 925,908/x
  3. Step 3: Cross multiply
    420,897x = 925,908 × 925,908
  4. Step 4: Simplify right side
    420,897x = 857,305,624,464
  5. Step 5: Solve for x
    x = 857,305,624,464/420,897
  6. Step 6: Final answer
    x = 2,036,853.73

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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.