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Finding the Third Proportional to 42.75 and 93.09

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Solution

The third proportional to 42.75 and 93.09 is: 202.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.75 : 93.09 = 93.09 : x
  2. Step 2: Convert to fraction form
    42.75/93.09 = 93.09/x
  3. Step 3: Cross multiply
    42.75x = 93.09 × 93.09
  4. Step 4: Simplify right side
    42.75x = 8,666.45
  5. Step 5: Solve for x
    x = 8,666.45/42.75
  6. Step 6: Final answer
    x = 202.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.