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Finding the Third Proportional to 301,107.38 and 440,351.44

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Solution

The third proportional to 301,107.38 and 440,351.44 is: 643,987.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,107.38 : 440,351.44 = 440,351.44 : x
  2. Step 2: Convert to fraction form
    301,107.38/440,351.44 = 440,351.44/x
  3. Step 3: Cross multiply
    301,107.38x = 440,351.44 × 440,351.44
  4. Step 4: Simplify right side
    301,107.38x = 193,909,388,508.32
  5. Step 5: Solve for x
    x = 193,909,388,508.32/301,107.38
  6. Step 6: Final answer
    x = 643,987.51

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.