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Finding the Third Proportional to 35.65 and 76.86

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Solution

The third proportional to 35.65 and 76.86 is: 165.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.65 : 76.86 = 76.86 : x
  2. Step 2: Convert to fraction form
    35.65/76.86 = 76.86/x
  3. Step 3: Cross multiply
    35.65x = 76.86 × 76.86
  4. Step 4: Simplify right side
    35.65x = 5,907.96
  5. Step 5: Solve for x
    x = 5,907.96/35.65
  6. Step 6: Final answer
    x = 165.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.