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Finding the Third Proportional to 394,085.25 and 609,580.69

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Solution

The third proportional to 394,085.25 and 609,580.69 is: 942,914.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,085.25 : 609,580.69 = 609,580.69 : x
  2. Step 2: Convert to fraction form
    394,085.25/609,580.69 = 609,580.69/x
  3. Step 3: Cross multiply
    394,085.25x = 609,580.69 × 609,580.69
  4. Step 4: Simplify right side
    394,085.25x = 371,588,614,572.97
  5. Step 5: Solve for x
    x = 371,588,614,572.97/394,085.25
  6. Step 6: Final answer
    x = 942,914.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.