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Finding the Third Proportional to 301,620.38 and 421,878.94

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Solution

The third proportional to 301,620.38 and 421,878.94 is: 590,085.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,620.38 : 421,878.94 = 421,878.94 : x
  2. Step 2: Convert to fraction form
    301,620.38/421,878.94 = 421,878.94/x
  3. Step 3: Cross multiply
    301,620.38x = 421,878.94 × 421,878.94
  4. Step 4: Simplify right side
    301,620.38x = 177,981,837,906.13
  5. Step 5: Solve for x
    x = 177,981,837,906.13/301,620.38
  6. Step 6: Final answer
    x = 590,085.59

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.