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Finding the Third Proportional to 95,514.19 and 204,150.38

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Solution

The third proportional to 95,514.19 and 204,150.38 is: 436,347.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,514.19 : 204,150.38 = 204,150.38 : x
  2. Step 2: Convert to fraction form
    95,514.19/204,150.38 = 204,150.38/x
  3. Step 3: Cross multiply
    95,514.19x = 204,150.38 × 204,150.38
  4. Step 4: Simplify right side
    95,514.19x = 41,677,375,612.64
  5. Step 5: Solve for x
    x = 41,677,375,612.64/95,514.19
  6. Step 6: Final answer
    x = 436,347.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.