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Finding the Third Proportional to 35.75 and 78.26

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Solution

The third proportional to 35.75 and 78.26 is: 171.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.75 : 78.26 = 78.26 : x
  2. Step 2: Convert to fraction form
    35.75/78.26 = 78.26/x
  3. Step 3: Cross multiply
    35.75x = 78.26 × 78.26
  4. Step 4: Simplify right side
    35.75x = 6,124.29
  5. Step 5: Solve for x
    x = 6,124.29/35.75
  6. Step 6: Final answer
    x = 171.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.