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Finding the Third Proportional to 394,863.75 and 577,486.50

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Solution

The third proportional to 394,863.75 and 577,486.50 is: 844,571.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,863.75 : 577,486.50 = 577,486.50 : x
  2. Step 2: Convert to fraction form
    394,863.75/577,486.50 = 577,486.50/x
  3. Step 3: Cross multiply
    394,863.75x = 577,486.50 × 577,486.50
  4. Step 4: Simplify right side
    394,863.75x = 333,490,657,682.25
  5. Step 5: Solve for x
    x = 333,490,657,682.25/394,863.75
  6. Step 6: Final answer
    x = 844,571.47

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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.