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Finding the Third Proportional to 302.63 and 664.31

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Solution

The third proportional to 302.63 and 664.31 is: 1,458.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.63 : 664.31 = 664.31 : x
  2. Step 2: Convert to fraction form
    302.63/664.31 = 664.31/x
  3. Step 3: Cross multiply
    302.63x = 664.31 × 664.31
  4. Step 4: Simplify right side
    302.63x = 441,311.10
  5. Step 5: Solve for x
    x = 441,311.10/302.63
  6. Step 6: Final answer
    x = 1,458.28

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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.