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Finding the Third Proportional to 302,515 and 664,080

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Solution

The third proportional to 302,515 and 664,080 is: 1,457,786.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,515 : 664,080 = 664,080 : x
  2. Step 2: Convert to fraction form
    302,515/664,080 = 664,080/x
  3. Step 3: Cross multiply
    302,515x = 664,080 × 664,080
  4. Step 4: Simplify right side
    302,515x = 441,002,246,400
  5. Step 5: Solve for x
    x = 441,002,246,400/302,515
  6. Step 6: Final answer
    x = 1,457,786.38

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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.