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Finding the Third Proportional to 507.44 and 778.31

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Solution

The third proportional to 507.44 and 778.31 is: 1,193.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.44 : 778.31 = 778.31 : x
  2. Step 2: Convert to fraction form
    507.44/778.31 = 778.31/x
  3. Step 3: Cross multiply
    507.44x = 778.31 × 778.31
  4. Step 4: Simplify right side
    507.44x = 605,770.35
  5. Step 5: Solve for x
    x = 605,770.35/507.44
  6. Step 6: Final answer
    x = 1,193.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.