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Finding the Third Proportional to 67.64 and 114.99

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Solution

The third proportional to 67.64 and 114.99 is: 195.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.64 : 114.99 = 114.99 : x
  2. Step 2: Convert to fraction form
    67.64/114.99 = 114.99/x
  3. Step 3: Cross multiply
    67.64x = 114.99 × 114.99
  4. Step 4: Simplify right side
    67.64x = 13,222.67
  5. Step 5: Solve for x
    x = 13,222.67/67.64
  6. Step 6: Final answer
    x = 195.48

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.