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Finding the Third Proportional to 258,601.50 and 378,058.50

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Solution

The third proportional to 258,601.50 and 378,058.50 is: 552,696.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,601.50 : 378,058.50 = 378,058.50 : x
  2. Step 2: Convert to fraction form
    258,601.50/378,058.50 = 378,058.50/x
  3. Step 3: Cross multiply
    258,601.50x = 378,058.50 × 378,058.50
  4. Step 4: Simplify right side
    258,601.50x = 142,928,229,422.25
  5. Step 5: Solve for x
    x = 142,928,229,422.25/258,601.50
  6. Step 6: Final answer
    x = 552,696.83

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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.