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Finding the Third Proportional to 302,691.25 and 664,422.75

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Solution

The third proportional to 302,691.25 and 664,422.75 is: 1,458,441.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,691.25 : 664,422.75 = 664,422.75 : x
  2. Step 2: Convert to fraction form
    302,691.25/664,422.75 = 664,422.75/x
  3. Step 3: Cross multiply
    302,691.25x = 664,422.75 × 664,422.75
  4. Step 4: Simplify right side
    302,691.25x = 441,457,590,717.56
  5. Step 5: Solve for x
    x = 441,457,590,717.56/302,691.25
  6. Step 6: Final answer
    x = 1,458,441.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.