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Finding the Third Proportional to 78.50 and 92.75

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Solution

The third proportional to 78.50 and 92.75 is: 109.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.50 : 92.75 = 92.75 : x
  2. Step 2: Convert to fraction form
    78.50/92.75 = 92.75/x
  3. Step 3: Cross multiply
    78.50x = 92.75 × 92.75
  4. Step 4: Simplify right side
    78.50x = 8,602.56
  5. Step 5: Solve for x
    x = 8,602.56/78.50
  6. Step 6: Final answer
    x = 109.59

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.