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Finding the Third Proportional to 253,514.25 and 379,480.50

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Solution

The third proportional to 253,514.25 and 379,480.50 is: 568,036.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,514.25 : 379,480.50 = 379,480.50 : x
  2. Step 2: Convert to fraction form
    253,514.25/379,480.50 = 379,480.50/x
  3. Step 3: Cross multiply
    253,514.25x = 379,480.50 × 379,480.50
  4. Step 4: Simplify right side
    253,514.25x = 144,005,449,880.25
  5. Step 5: Solve for x
    x = 144,005,449,880.25/253,514.25
  6. Step 6: Final answer
    x = 568,036.90

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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.