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Finding the Third Proportional to 42.40 and 93.66

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Solution

The third proportional to 42.40 and 93.66 is: 206.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.40 : 93.66 = 93.66 : x
  2. Step 2: Convert to fraction form
    42.40/93.66 = 93.66/x
  3. Step 3: Cross multiply
    42.40x = 93.66 × 93.66
  4. Step 4: Simplify right side
    42.40x = 8,771.49
  5. Step 5: Solve for x
    x = 8,771.49/42.40
  6. Step 6: Final answer
    x = 206.88

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.