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Finding the Third Proportional to 258,488.50 and 388,007.75

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Solution

The third proportional to 258,488.50 and 388,007.75 is: 582,424.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,488.50 : 388,007.75 = 388,007.75 : x
  2. Step 2: Convert to fraction form
    258,488.50/388,007.75 = 388,007.75/x
  3. Step 3: Cross multiply
    258,488.50x = 388,007.75 × 388,007.75
  4. Step 4: Simplify right side
    258,488.50x = 150,550,014,060.06
  5. Step 5: Solve for x
    x = 150,550,014,060.06/258,488.50
  6. Step 6: Final answer
    x = 582,424.42

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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.