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Finding the Third Proportional to 258,508.75 and 388,036.25

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Solution

The third proportional to 258,508.75 and 388,036.25 is: 582,464.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,508.75 : 388,036.25 = 388,036.25 : x
  2. Step 2: Convert to fraction form
    258,508.75/388,036.25 = 388,036.25/x
  3. Step 3: Cross multiply
    258,508.75x = 388,036.25 × 388,036.25
  4. Step 4: Simplify right side
    258,508.75x = 150,572,131,314.06
  5. Step 5: Solve for x
    x = 150,572,131,314.06/258,508.75
  6. Step 6: Final answer
    x = 582,464.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.