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Finding the Third Proportional to 301,743.56 and 628,036.45

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Solution

The third proportional to 301,743.56 and 628,036.45 is: 1,307,168.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,743.56 : 628,036.45 = 628,036.45 : x
  2. Step 2: Convert to fraction form
    301,743.56/628,036.45 = 628,036.45/x
  3. Step 3: Cross multiply
    301,743.56x = 628,036.45 × 628,036.45
  4. Step 4: Simplify right side
    301,743.56x = 394,429,786,453.83
  5. Step 5: Solve for x
    x = 394,429,786,453.83/301,743.56
  6. Step 6: Final answer
    x = 1,307,168.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.