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Finding the Third Proportional to 288,207.50 and 629,928.50

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Solution

The third proportional to 288,207.50 and 629,928.50 is: 1,376,820.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,207.50 : 629,928.50 = 629,928.50 : x
  2. Step 2: Convert to fraction form
    288,207.50/629,928.50 = 629,928.50/x
  3. Step 3: Cross multiply
    288,207.50x = 629,928.50 × 629,928.50
  4. Step 4: Simplify right side
    288,207.50x = 396,809,915,112.25
  5. Step 5: Solve for x
    x = 396,809,915,112.25/288,207.50
  6. Step 6: Final answer
    x = 1,376,820.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.