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Finding the Third Proportional to 88.92 and 138.77

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Solution

The third proportional to 88.92 and 138.77 is: 216.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.92 : 138.77 = 138.77 : x
  2. Step 2: Convert to fraction form
    88.92/138.77 = 138.77/x
  3. Step 3: Cross multiply
    88.92x = 138.77 × 138.77
  4. Step 4: Simplify right side
    88.92x = 19,258.07
  5. Step 5: Solve for x
    x = 19,258.07/88.92
  6. Step 6: Final answer
    x = 216.57

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.