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Finding the Third Proportional to 258,644.25 and 378,123.75

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Solution

The third proportional to 258,644.25 and 378,123.75 is: 552,796.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,644.25 : 378,123.75 = 378,123.75 : x
  2. Step 2: Convert to fraction form
    258,644.25/378,123.75 = 378,123.75/x
  3. Step 3: Cross multiply
    258,644.25x = 378,123.75 × 378,123.75
  4. Step 4: Simplify right side
    258,644.25x = 142,977,570,314.06
  5. Step 5: Solve for x
    x = 142,977,570,314.06/258,644.25
  6. Step 6: Final answer
    x = 552,796.25

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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.