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Finding the Third Proportional to 5,317,857 and 12,821,031

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Solution

The third proportional to 5,317,857 and 12,821,031 is: 30,910,728.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,317,857 : 12,821,031 = 12,821,031 : x
  2. Step 2: Convert to fraction form
    5,317,857/12,821,031 = 12,821,031/x
  3. Step 3: Cross multiply
    5,317,857x = 12,821,031 × 12,821,031
  4. Step 4: Simplify right side
    5,317,857x = 164,378,835,902,961
  5. Step 5: Solve for x
    x = 164,378,835,902,961/5,317,857
  6. Step 6: Final answer
    x = 30,910,728.87

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.