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Finding the Third Proportional to 56.25 and 78.75

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Solution

The third proportional to 56.25 and 78.75 is: 110.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.25 : 78.75 = 78.75 : x
  2. Step 2: Convert to fraction form
    56.25/78.75 = 78.75/x
  3. Step 3: Cross multiply
    56.25x = 78.75 × 78.75
  4. Step 4: Simplify right side
    56.25x = 6,201.56
  5. Step 5: Solve for x
    x = 6,201.56/56.25
  6. Step 6: Final answer
    x = 110.25

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.