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Finding the Third Proportional to 351.75 and 511.64

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Solution

The third proportional to 351.75 and 511.64 is: 744.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.75 : 511.64 = 511.64 : x
  2. Step 2: Convert to fraction form
    351.75/511.64 = 511.64/x
  3. Step 3: Cross multiply
    351.75x = 511.64 × 511.64
  4. Step 4: Simplify right side
    351.75x = 261,776.13
  5. Step 5: Solve for x
    x = 261,776.13/351.75
  6. Step 6: Final answer
    x = 744.21

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.