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Finding the Third Proportional to 301,628.25 and 421,890.75

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Solution

The third proportional to 301,628.25 and 421,890.75 is: 590,103.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,628.25 : 421,890.75 = 421,890.75 : x
  2. Step 2: Convert to fraction form
    301,628.25/421,890.75 = 421,890.75/x
  3. Step 3: Cross multiply
    301,628.25x = 421,890.75 × 421,890.75
  4. Step 4: Simplify right side
    301,628.25x = 177,991,804,935.56
  5. Step 5: Solve for x
    x = 177,991,804,935.56/301,628.25
  6. Step 6: Final answer
    x = 590,103.23

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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.