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Finding the Third Proportional to 77.06 and 87.56

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Solution

The third proportional to 77.06 and 87.56 is: 99.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.06 : 87.56 = 87.56 : x
  2. Step 2: Convert to fraction form
    77.06/87.56 = 87.56/x
  3. Step 3: Cross multiply
    77.06x = 87.56 × 87.56
  4. Step 4: Simplify right side
    77.06x = 7,667.19
  5. Step 5: Solve for x
    x = 7,667.19/77.06
  6. Step 6: Final answer
    x = 99.49

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.