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Finding the Third Proportional to 42.87 and 88.36

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Solution

The third proportional to 42.87 and 88.36 is: 182.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.87 : 88.36 = 88.36 : x
  2. Step 2: Convert to fraction form
    42.87/88.36 = 88.36/x
  3. Step 3: Cross multiply
    42.87x = 88.36 × 88.36
  4. Step 4: Simplify right side
    42.87x = 7,806.86
  5. Step 5: Solve for x
    x = 7,806.86/42.87
  6. Step 6: Final answer
    x = 182.09

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.