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Finding the Third Proportional to 394,707.94 and 577,299.66

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Solution

The third proportional to 394,707.94 and 577,299.66 is: 844,358.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,707.94 : 577,299.66 = 577,299.66 : x
  2. Step 2: Convert to fraction form
    394,707.94/577,299.66 = 577,299.66/x
  3. Step 3: Cross multiply
    394,707.94x = 577,299.66 × 577,299.66
  4. Step 4: Simplify right side
    394,707.94x = 333,274,893,106.37
  5. Step 5: Solve for x
    x = 333,274,893,106.37/394,707.94
  6. Step 6: Final answer
    x = 844,358.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.