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Finding the Third Proportional to 812,782.69 and 1,786,451.63

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Solution

The third proportional to 812,782.69 and 1,786,451.63 is: 3,926,522.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,782.69 : 1,786,451.63 = 1,786,451.63 : x
  2. Step 2: Convert to fraction form
    812,782.69/1,786,451.63 = 1,786,451.63/x
  3. Step 3: Cross multiply
    812,782.69x = 1,786,451.63 × 1,786,451.63
  4. Step 4: Simplify right side
    812,782.69x = 3,191,409,408,465.14
  5. Step 5: Solve for x
    x = 3,191,409,408,465.14/812,782.69
  6. Step 6: Final answer
    x = 3,926,522.37

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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.