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Finding the Third Proportional to 394,165.69 and 608,716.78

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Solution

The third proportional to 394,165.69 and 608,716.78 is: 940,051.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,165.69 : 608,716.78 = 608,716.78 : x
  2. Step 2: Convert to fraction form
    394,165.69/608,716.78 = 608,716.78/x
  3. Step 3: Cross multiply
    394,165.69x = 608,716.78 × 608,716.78
  4. Step 4: Simplify right side
    394,165.69x = 370,536,119,775.36
  5. Step 5: Solve for x
    x = 370,536,119,775.36/394,165.69
  6. Step 6: Final answer
    x = 940,051.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.