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Finding the Third Proportional to 288,209.50 and 629,932.50

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Solution

The third proportional to 288,209.50 and 629,932.50 is: 1,376,828.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,209.50 : 629,932.50 = 629,932.50 : x
  2. Step 2: Convert to fraction form
    288,209.50/629,932.50 = 629,932.50/x
  3. Step 3: Cross multiply
    288,209.50x = 629,932.50 × 629,932.50
  4. Step 4: Simplify right side
    288,209.50x = 396,814,954,556.25
  5. Step 5: Solve for x
    x = 396,814,954,556.25/288,209.50
  6. Step 6: Final answer
    x = 1,376,828.16

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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.