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Finding the Third Proportional to 258,214.50 and 394,713

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Solution

The third proportional to 258,214.50 and 394,713 is: 603,367.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,214.50 : 394,713 = 394,713 : x
  2. Step 2: Convert to fraction form
    258,214.50/394,713 = 394,713/x
  3. Step 3: Cross multiply
    258,214.50x = 394,713 × 394,713
  4. Step 4: Simplify right side
    258,214.50x = 155,798,352,369
  5. Step 5: Solve for x
    x = 155,798,352,369/258,214.50
  6. Step 6: Final answer
    x = 603,367.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.