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Finding the Third Proportional to 301,286.25 and 413,129.81

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Solution

The third proportional to 301,286.25 and 413,129.81 is: 566,491.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,286.25 : 413,129.81 = 413,129.81 : x
  2. Step 2: Convert to fraction form
    301,286.25/413,129.81 = 413,129.81/x
  3. Step 3: Cross multiply
    301,286.25x = 413,129.81 × 413,129.81
  4. Step 4: Simplify right side
    301,286.25x = 170,676,241,976.29
  5. Step 5: Solve for x
    x = 170,676,241,976.29/301,286.25
  6. Step 6: Final answer
    x = 566,491.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.