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Finding the Third Proportional to 253,590.75 and 394,905.38

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Solution

The third proportional to 253,590.75 and 394,905.38 is: 614,968.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,590.75 : 394,905.38 = 394,905.38 : x
  2. Step 2: Convert to fraction form
    253,590.75/394,905.38 = 394,905.38/x
  3. Step 3: Cross multiply
    253,590.75x = 394,905.38 × 394,905.38
  4. Step 4: Simplify right side
    253,590.75x = 155,950,255,203.89
  5. Step 5: Solve for x
    x = 155,950,255,203.89/253,590.75
  6. Step 6: Final answer
    x = 614,968.23

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.