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Finding the Third Proportional to 510.75 and 764.44

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Solution

The third proportional to 510.75 and 764.44 is: 1,144.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.75 : 764.44 = 764.44 : x
  2. Step 2: Convert to fraction form
    510.75/764.44 = 764.44/x
  3. Step 3: Cross multiply
    510.75x = 764.44 × 764.44
  4. Step 4: Simplify right side
    510.75x = 584,364.69
  5. Step 5: Solve for x
    x = 584,364.69/510.75
  6. Step 6: Final answer
    x = 1,144.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.