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Finding the Third Proportional to 507.28 and 766.41

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Solution

The third proportional to 507.28 and 766.41 is: 1,157.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.28 : 766.41 = 766.41 : x
  2. Step 2: Convert to fraction form
    507.28/766.41 = 766.41/x
  3. Step 3: Cross multiply
    507.28x = 766.41 × 766.41
  4. Step 4: Simplify right side
    507.28x = 587,378.54
  5. Step 5: Solve for x
    x = 587,378.54/507.28
  6. Step 6: Final answer
    x = 1,157.90

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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.