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Finding the Third Proportional to 171,540 and 254,814.75

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Solution

The third proportional to 171,540 and 254,814.75 is: 378,515.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,540 : 254,814.75 = 254,814.75 : x
  2. Step 2: Convert to fraction form
    171,540/254,814.75 = 254,814.75/x
  3. Step 3: Cross multiply
    171,540x = 254,814.75 × 254,814.75
  4. Step 4: Simplify right side
    171,540x = 64,930,556,817.56
  5. Step 5: Solve for x
    x = 64,930,556,817.56/171,540
  6. Step 6: Final answer
    x = 378,515.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.