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Finding the Third Proportional to 478.41 and 751.78

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Solution

The third proportional to 478.41 and 751.78 is: 1,181.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.41 : 751.78 = 751.78 : x
  2. Step 2: Convert to fraction form
    478.41/751.78 = 751.78/x
  3. Step 3: Cross multiply
    478.41x = 751.78 × 751.78
  4. Step 4: Simplify right side
    478.41x = 565,175.05
  5. Step 5: Solve for x
    x = 565,175.05/478.41
  6. Step 6: Final answer
    x = 1,181.37

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.