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Finding the Third Proportional to 77 and 88

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Solution

The third proportional to 77 and 88 is: 100.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    77 : 88 = 88 : x
  2. Step 2: Convert to fraction form
    77/88 = 88/x
  3. Step 3: Cross multiply
    77x = 88 × 88
  4. Step 4: Simplify right side
    77x = 7,744
  5. Step 5: Solve for x
    x = 7,744/77
  6. Step 6: Final answer
    x = 100.57

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