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Finding the Third Proportional to 301,385 and 664,101

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Solution

The third proportional to 301,385 and 664,101 is: 1,463,344.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,385 : 664,101 = 664,101 : x
  2. Step 2: Convert to fraction form
    301,385/664,101 = 664,101/x
  3. Step 3: Cross multiply
    301,385x = 664,101 × 664,101
  4. Step 4: Simplify right side
    301,385x = 441,030,138,201
  5. Step 5: Solve for x
    x = 441,030,138,201/301,385
  6. Step 6: Final answer
    x = 1,463,344.69

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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.