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Finding the Third Proportional to 42.87 and 92.63

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Solution

The third proportional to 42.87 and 92.63 is: 200.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.87 : 92.63 = 92.63 : x
  2. Step 2: Convert to fraction form
    42.87/92.63 = 92.63/x
  3. Step 3: Cross multiply
    42.87x = 92.63 × 92.63
  4. Step 4: Simplify right side
    42.87x = 8,579.93
  5. Step 5: Solve for x
    x = 8,579.93/42.87
  6. Step 6: Final answer
    x = 200.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.