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Finding the Third Proportional to 342.28 and 511.45

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Solution

The third proportional to 342.28 and 511.45 is: 764.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.28 : 511.45 = 511.45 : x
  2. Step 2: Convert to fraction form
    342.28/511.45 = 511.45/x
  3. Step 3: Cross multiply
    342.28x = 511.45 × 511.45
  4. Step 4: Simplify right side
    342.28x = 261,584.30
  5. Step 5: Solve for x
    x = 261,584.30/342.28
  6. Step 6: Final answer
    x = 764.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.