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Finding the Third Proportional to 77.56 and 110.56

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Solution

The third proportional to 77.56 and 110.56 is: 157.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.56 : 110.56 = 110.56 : x
  2. Step 2: Convert to fraction form
    77.56/110.56 = 110.56/x
  3. Step 3: Cross multiply
    77.56x = 110.56 × 110.56
  4. Step 4: Simplify right side
    77.56x = 12,224.07
  5. Step 5: Solve for x
    x = 12,224.07/77.56
  6. Step 6: Final answer
    x = 157.60

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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.