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Finding the Third Proportional to 425,682 and 917,802

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Solution

The third proportional to 425,682 and 917,802 is: 1,978,849.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,682 : 917,802 = 917,802 : x
  2. Step 2: Convert to fraction form
    425,682/917,802 = 917,802/x
  3. Step 3: Cross multiply
    425,682x = 917,802 × 917,802
  4. Step 4: Simplify right side
    425,682x = 842,360,511,204
  5. Step 5: Solve for x
    x = 842,360,511,204/425,682
  6. Step 6: Final answer
    x = 1,978,849.26

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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.