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Finding the Third Proportional to 76.88 and 110.06

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Solution

The third proportional to 76.88 and 110.06 is: 157.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.88 : 110.06 = 110.06 : x
  2. Step 2: Convert to fraction form
    76.88/110.06 = 110.06/x
  3. Step 3: Cross multiply
    76.88x = 110.06 × 110.06
  4. Step 4: Simplify right side
    76.88x = 12,113.75
  5. Step 5: Solve for x
    x = 12,113.75/76.88
  6. Step 6: Final answer
    x = 157.58

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.