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Finding the Third Proportional to 351.34 and 506.09

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Solution

The third proportional to 351.34 and 506.09 is: 729.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.34 : 506.09 = 506.09 : x
  2. Step 2: Convert to fraction form
    351.34/506.09 = 506.09/x
  3. Step 3: Cross multiply
    351.34x = 506.09 × 506.09
  4. Step 4: Simplify right side
    351.34x = 256,130.88
  5. Step 5: Solve for x
    x = 256,130.88/351.34
  6. Step 6: Final answer
    x = 729.00

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.