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Finding the Third Proportional to 812,702 and 1,869,107

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Solution

The third proportional to 812,702 and 1,869,107 is: 4,298,698.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,702 : 1,869,107 = 1,869,107 : x
  2. Step 2: Convert to fraction form
    812,702/1,869,107 = 1,869,107/x
  3. Step 3: Cross multiply
    812,702x = 1,869,107 × 1,869,107
  4. Step 4: Simplify right side
    812,702x = 3,493,560,977,449
  5. Step 5: Solve for x
    x = 3,493,560,977,449/812,702
  6. Step 6: Final answer
    x = 4,298,698.63

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.