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Finding the Third Proportional to 259,678.50 and 388,480.50

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Solution

The third proportional to 259,678.50 and 388,480.50 is: 581,169.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,678.50 : 388,480.50 = 388,480.50 : x
  2. Step 2: Convert to fraction form
    259,678.50/388,480.50 = 388,480.50/x
  3. Step 3: Cross multiply
    259,678.50x = 388,480.50 × 388,480.50
  4. Step 4: Simplify right side
    259,678.50x = 150,917,098,880.25
  5. Step 5: Solve for x
    x = 150,917,098,880.25/259,678.50
  6. Step 6: Final answer
    x = 581,169.02

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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.