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Finding the Third Proportional to 506.50 and 766.75

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Solution

The third proportional to 506.50 and 766.75 is: 1,160.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.50 : 766.75 = 766.75 : x
  2. Step 2: Convert to fraction form
    506.50/766.75 = 766.75/x
  3. Step 3: Cross multiply
    506.50x = 766.75 × 766.75
  4. Step 4: Simplify right side
    506.50x = 587,905.56
  5. Step 5: Solve for x
    x = 587,905.56/506.50
  6. Step 6: Final answer
    x = 1,160.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.