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Finding the Third Proportional to 514.69 and 755.44

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Solution

The third proportional to 514.69 and 755.44 is: 1,108.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.69 : 755.44 = 755.44 : x
  2. Step 2: Convert to fraction form
    514.69/755.44 = 755.44/x
  3. Step 3: Cross multiply
    514.69x = 755.44 × 755.44
  4. Step 4: Simplify right side
    514.69x = 570,685.82
  5. Step 5: Solve for x
    x = 570,685.82/514.69
  6. Step 6: Final answer
    x = 1,108.80

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.